View source for 100,000

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'''100,000''' ('''one hundred thousand''') is the [[natural number]] following [[90,000#Selected numbers in the range 90,000–99,999|99,999]] and preceding 100,001. In scientific notation, it is written as 10<sup>5</sup>.

== Terms for 100,000 ==
In [[Bangladesh]], [[India]], [[Pakistan]] and [[South Asia]], one hundred thousand is called a [[lakh]], and is written as '''1,00,000'''. The [[Thai language|Thai]], [[Lao language|Lao]], [[Khmer language|Khmer]] and [[Vietnamese language|Vietnamese]] languages also have separate words for this number: {{lang|th|แสน}}, {{lang|lo|ແສນ}}, {{lang|km|សែន}} (all ''saen''), and {{lang|vi|ức}} respectively. The [[Malagasy language|Malagasy]] word is {{lang|mg|hetsy}}.<ref>{{Cite web|url=http://malagasyword.org/bins/teny2/hetsy|title=Malagasy Dictionary and Madagascar Encyclopedia : hetsy|date=26 October 2017|website=malagasyword.org|access-date=2019-12-31}}</ref>

In [[Netherlands|the Netherlands]], a '[[:nl:Ton_(geld)|ton]]' is a colloquialism for a denomination of 100.000 monetary units. In the [[Dutch guilder|guilders]] period a ton would denote 100.000 guilders. With the introduction of the euro, a ton would come to mean 100.000 euros. The usage is mostly limited to the financial sphere and the buying and selling of houses. It is not used in official settings because of the ambiguity with commonly used [[Tonne|metric tonne]]. While usage is common in the Netherlands, it sees almost no use in [[Belgium]].{{cn|date=July 2024}}

In [[Cyrillic numerals]], it is known as the legion ({{script|Cyrl|легион}}): [[File:Legion-1000000-Cyrillic.svg|30px]] or [[File:Несведь.svg|25px]].

== Values of 100,000 ==
In [[astronomy]], '''100,000 metres''', '''100 kilometres''', or '''100&nbsp;km''' (62 miles) is the [[altitude]] at which the [[Fédération Aéronautique Internationale]] (FAI) defines [[spaceflight]] to begin.

In [[paleoclimatology]], the [[100,000-year problem]] is a mismatch between the temperature record and the modeled [[solar irradiation|incoming solar radiation]].

In the [[Irish language]], '''{{wikt-lang|ga|céad míle fáilte|céad míle fáilte}}''' ({{IPA|ga|ˌceːd̪ˠ ˈmʲiːlʲə ˈfˠaːl̠ʲtʲə|pron}}) is a popular greeting meaning "a hundred thousand welcomes".

==Selected 6-digit numbers (100,001–999,999)==

===100,001 to 199,999===
* '''100,001''' = second smallest 6-digit number
* '''100,003''' = smallest 6-digit prime number<ref name=A003617>{{Cite OEIS|A003617|Smallest n-digit prime}}</ref>
* '''100,128''' = smallest [[triangular number]] with 6 digits and the 447th triangular number
* '''100,151''' = [[twin prime]] with 100,153
* '''100,153''' = twin prime with 100,151
* '''100,255''' = [[Friedman number]]<ref>{{cite web |url=http://www2.stetson.edu/~efriedma/mathmagic/0800.html |title=Problem of the Month (August 2000) |access-date=2013-01-13 |url-status=live |archive-url=https://web.archive.org/web/20121218102647/http://www2.stetson.edu/~efriedma/mathmagic/0800.html |archive-date=2012-12-18 }}</ref>
* '''100,489''' = 317<sup>2</sup>, the smallest 6-digit square
* '''101,101''' = smallest [[Palindromic number|palindromic]] [[Carmichael number]]
* '''101,723''' = smallest [[prime number]] whose square is a [[pandigital number]] containing each digit from 0 to 9
* '''102,564''' = The smallest [[parasitic number]]
* '''103,049''' = [[Schröder–Hipparchus number]]<ref name=A001003>{{Cite OEIS|A001003|Schroeder's second problem (generalized parentheses); also called super-Catalan numbers or little Schroeder numbers.}}</ref>
* '''103,680''' = [[highly totient number]]<ref name=A097942>{{Cite OEIS|A097942|Highly totient numbers}}</ref>
* '''103,769''' = the number of combinatorial types of 5-dimensional [[zonohedron|parallelohedra]]
* '''103,823''' = 47<sup>3</sup>, the smallest 6-digit cube and nice Friedman number (−1 + 0 + 3×8×2)<sup>3</sup>
* '''104,480''' = [[oeis:A283877|number of non-isomorphic set-systems]] of weight 14.
* '''104,723''' = the 9,999th prime number
* '''104,729''' = the 10,000th prime number
* '''104,869''' = the smallest [[prime number]] containing every non-prime digit
* '''104,976''' = 18<sup>4</sup>, 3-smooth number
* '''105,071''' = number of triangle-free graphs on 11 vertices<ref>{{cite OEIS|A006785|Number of triangle-free graphs on n vertices}}</ref>
* '''105,558''' = number of partitions of 46<ref  name=A000041>{{cite OEIS|A000041|a(n) is the number of partitions of n (the partition numbers)}}</ref>
* '''105,664''' = [[harmonic divisor number]]<ref name=A001599>{{Cite OEIS|A001599|Harmonic or Ore numbers}}</ref>
* '''108,968''' = number of signed trees with 11 nodes<ref name="auto1">{{cite OEIS|A000060|Number of signed trees with n nodes}}</ref>
* '''109,376''' = [[automorphic number]]<ref name=A003226>{{Cite OEIS|A003226|Automorphic numbers: m^2 ends with m}}</ref>
* '''110,880''' = 30th [[highly composite number]]<ref name=A002182>{{Cite OEIS|A002182|Highly composite numbers}}</ref>
* '''111,111''' = [[repunit]]
* '''111,777''' = smallest natural number requiring 17 syllables in American English, 19 in British English
* '''113,634''' = [[Motzkin number]] for ''n'' = 14<ref name=A001006>{{Cite OEIS|A001006|Motzkin numbers}}</ref>
* '''114,243'''/80,782 ≈ [[square root of 2|√2]]
* '''114,689''' = [[prime factor]] of ''[[Fermat number|F]]''<sub>12</sub>
* '''115,975''' = [[Bell number]]<ref name=A000110>{{Cite OEIS|A000110|Bell or exponential numbers}}</ref>
* '''116,281''' = 341<sup>2</sup>, [[square number]], [[centered decagonal number]], 18-gonal number
* '''117,067''' = first [[vampire number|vampire prime]]
* '''117,649''' = 7<sup>6</sup>
* '''117,800''' = harmonic divisor number<ref name=A001599 />
* '''120,032''' = number of primitive polynomials of degree 22 over GF(2)<ref name=A011260>{{cite OEIS|A011260|Number of primitive polynomials of degree n over GF(2)}}</ref>
* '''120,284''' = [[Keith number]]<ref  name=A007629>{{Cite OEIS|A007629|Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers)}}</ref>
* '''120,960''' = highly totient number<ref name=A097942 />
* '''121,393''' = [[Fibonacci number]]<ref name=A000045>{{Cite OEIS|A000045|Fibonacci numbers}}</ref>
* '''123,717''' = smallest digitally balanced number in base 7<ref>{{Cite OEIS|A049363|2=a(1) = 1; for n > 1, smallest digitally balanced number in base n}}</ref>
* '''123,867''' = number of trees with 18 unlabeled nodes<ref name="auto">{{cite OEIS|A000055|Number of trees with n unlabeled nodes}}</ref>
* '''124,754''' = number of partitions of 47<ref name=A000041 />
* '''125,673''' = logarithmic number<ref>{{cite OEIS|A002104|Logarithmic numbers}}</ref>
* '''127,777''' = smallest natural number requiring 18 syllables in American English, 20 in British English
* '''127,912''' = [[Wedderburn–Etherington number]]<ref name=A001190>{{Cite OEIS|A001190|Wedderburn-Etherington numbers}}</ref>
* '''128,981''' = Starts the first [[prime gap]] sequence of 2, 4, 6, 8, 10, 12, 14
* '''129,106''' = Keith number<ref name=A007629 />
* '''130,321''' = 19<sup>4</sup>
* '''131,071''' = [[Mersenne prime]]<ref name=A000668>{{Cite OEIS|A000668|Mersenne primes (primes of the form 2^n - 1)}}</ref>  
* '''131,072''' = 2<sup>17</sup> and largest determinant of a (real) {0,1}-matrix of order 15.<ref>{{Cite OEIS |A003432 |Hadamard maximal determinant problem |access-date=2024-03-30 }}</ref>
* '''131,361''' = [[Leyland number]]<ref name=A076980>{{Cite OEIS|A076980|Leyland numbers}}</ref>
* '''134,340''' = [[Pluto]]'s minor planet designation
* '''135,135''' = [[double factorial]] of 13
* '''135,137''' = [[Markov number]]<ref  name=A002559>{{Cite OEIS|A002559|Markoff (or Markov) numbers}}</ref>
* '''142,129''' = 377<sup>2</sup>, [[square number]], [[dodecagonal number]]
* '''[[142,857]]''' = [[Kaprekar number]], smallest [[cyclic number]] in [[decimal]].
* '''[[144,000]]''' = number with religious significance
* '''147,273''' = number of partitions of 48<ref name=A000041 />

* '''147,640''' = Keith number<ref name=A007629 />
* '''148,149''' = Kaprekar number<ref name=A006886>{{Cite OEIS|A006886|Kaprekar numbers}}</ref>
* '''152,381''' = [[unique prime]] in [[Vigesimal|base 20]]
* '''156,146''' = Keith number<ref name=A007629 />
* '''155,921''' = smallest prime number being the only prime in an interval from 100''n'' to 100''n'' + 99
* '''160,000''' = 20<sup>4</sup>
* '''160,176''' = number of reduced trees with 26 nodes<ref name=A000014>{{cite OEIS|A000014|Number of series-reduced trees with n nodes}}</ref>
* '''161,051''' = 11<sup>5</sup>
* '''161,280''' = highly totient number<ref name=A097942 />
* '''166,320''' = 31st [[highly composite number]]<ref name=A002182 />
* '''167,400''' = harmonic divisor number<ref name=A001599 />
* '''167,894''' = number of ways to partition {1,2,3,4,5,6,7,8} and then partition each cell (block) into subcells.<ref>{{cite OEIS|A000258|Expansion of e.g.f. exp(exp(exp(x)-1)-1)}}</ref>
* '''173,525''' = number of partitions of 49<ref name=A000041 />
* '''173,600''' = harmonic divisor number<ref name=A001599 />
* '''174,680''' = Keith number<ref name=A007629 />
* '''174,763''' = [[Wagstaff prime]]<ref>{{Cite OEIS|A000979|Wagstaff primes}}</ref>
* '''176,906''' = number of 24-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011>{{cite OEIS|A000011|Number of n-bead necklaces (turning over is allowed) where complements are equivalent}}</ref>
* '''177,147''' = 3<sup>11</sup>
* '''177,777''' = smallest natural number requiring 19 syllables in American English, 21 in British English
* '''178,478''' = Leyland number<ref name=A076980 />
* '''181,440''' = highly totient number<ref name=A097942 />
* '''181,819''' = Kaprekar number<ref name=A006886 />
* '''182,362''' = number of 23-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed<ref name=A000013>{{cite OEIS|A000013|Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed}}</ref>
* '''183,186''' = Keith number<ref name=A007629 />
* '''183,231''' = number of [[partially ordered set]] with 9 unlabeled elements<ref>{{cite OEIS|A000112|Number of partially ordered sets (posets) with n unlabeled elements}}</ref>
* '''187,110''' = Kaprekar number<ref name=A006886 />
* '''189,819''' = number of letters in the longest English word, taking 3 hours to pronounce<ref>{{Cite web |title=The longest word in English? Here are the top 15 biggest ones |url=https://www.berlitz.com/blog/longest-word-english |access-date=2024-03-01 |website=Berlitz |language=en}}</ref>
* '''194,481''' = 21<sup>4</sup>
* '''195,025''' = [[Pell number]],<ref name=A000129>{{Cite OEIS|A000129|Pell numbers}}</ref> Markov number<ref name=A002559 />
* '''196,418''' = Fibonacci number,<ref name=A000045 /> Markov number<ref name=A002559 />
* '''196,560''' = the [[kissing number]] in 24 dimensions
* '''196,883''' = the dimension of the smallest nontrivial [[Representation theory|irreducible]] [[group representation|representation]] of the [[Monster group]]
* '''196,884''' = the coefficient of ''q'' in the [[Fourier series]] expansion of the [[j-invariant]]. The adjacency of 196883 and 196884 was important in suggesting [[monstrous moonshine]].
* '''199,999''' = prime number

===200,000 to 299,999===
* '''202,717''' = k such that the sum of the squares of the first k primes is divisible by k.<ref>{{cite OEIS|A111441|Numbers k such that the sum of the squares of the first k primes is divisible by k}}</ref>
* '''206,098''' – [[oeis:A006318|Large Schröder number]]
* '''206,265''' = rounded number of [[Minute and second of arc|arc seconds]] in a [[radian]] (see also [[parsec]]), since {{sfrac|180 × 60 × 60|{{pi}}}} = 206,264.806...
* '''207,360''' = highly totient number<ref name=A097942/>
* '''208,012''' = the [[Catalan number]] ''C''<sub>12</sub><ref name=A000108>{{Cite OEIS|A000108|Catalan numbers}}</ref>
* '''208,335''' = the largest number to be both [[triangular number|triangular]] and [[square pyramidal number|square pyramidal]]<ref>{{Cite OEIS|A000330|2=Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6}}</ref>
* '''208,495''' = Kaprekar number<ref name=A006886/>
* '''212,159''' = smallest unprimeable number ending in 1, 3, 7 or 9<ref>{{Cite book|last=Collins|first=Julia|title=Numbers in Minutes|publisher=Quercus|year=2019|isbn=978-1635061772|location=United Kingdom|pages=140}}</ref><ref>{{Cite OEIS|A143641|Odd prime-proof numbers not ending in 5}}</ref>
* '''221,760''' = 32nd [[highly composite number]]<ref name=A002182/>
* '''222,222''' = [[repdigit]]
* '''224,737''' = the 20,000th prime number
* '''227,475''' = [[oeis:A005043|Riordan number]]
* '''234,256''' = 22<sup>4</sup>
* '''237,510''' = harmonic divisor number<ref name=A001599/>
* '''238,591''' = number of free 13-ominoes
* '''241,920''' = highly totient number<ref name=A097942/>
* '''242,060''' = harmonic divisor number<ref name=A001599/>
* '''248,832''' = 12<sup>5</sup>, 100,000<sub>12</sub>, AKA a gross-great-gross (100<sub>12</sub> great-grosses); the smallest fifth power that can be represented as the sum of only 6 fifth powers: 12<sup>5</sup> = 4<sup>5</sup> + 5<sup>5</sup> + 6<sup>5</sup> + 7<sup>5</sup> + 9<sup>5</sup> + 11<sup>5</sup>
* '''253,293''' = number of [[prime knots]] with 15 crossings
* '''255,168''' = number of ways to play [[tic tac toe]]<ref>{{cite web | url=http://www.se16.info/hgb/tictactoe.htm#:~:text=in%20the%20result.-,How%20many%20Tic-Tac-Toe%20(noughts%20and%20crosses),255168%20possible%20games%20in%20total | title=How many Tic-Tac-Toe (Noughts and crosses) games? }}</ref>
* '''262,144''' = 2<sup>18</sup>; [[exponential factorial]] of 4;<ref>{{Cite OEIS|A049384|2=a(0)=1, a(n+1) = (n+1)^a(n)}}</ref> a [[superperfect number]]<ref>{{Cite OEIS|A019279|Superperfect numbers}}</ref>
* '''262,468''' = Leyland number<ref name=A076980/>
* '''268,705''' = Leyland number<ref name=A076980/>
* '''271,129''' – smallest known [[Sierpiński number|Sierpiński prime]]
* '''274,177''' = prime factor of the [[Fermat number]] ''F''<sub>6</sub>
* '''275,807'''/195,025 ≈ [[square root of 2|√2]]
* '''276,480''' = number of primitive polynomials of degree 24 over GF(2)<ref name=A011260/>
* '''277,200''' = 33rd [[highly composite number]]<ref name=A002182/>
* '''279,841''' = 23<sup>4</sup>
* '''279,936''' = 6<sup>7</sup>
* '''280,859''' = a [[prime number]] whose [[square (algebra)|square]] 78881777881 is tridigital
* '''291,400''' = number of non-equivalent ways of expressing 100,000,000 as the sum of two prime numbers<ref>{{Cite OEIS|A065577|Number of Goldbach partitions of 10^n}}</ref>
* '''293,547''' = Wedderburn–Etherington number<ref name=A001190/>
* '''294,001''' = smallest [[Weakly prime number|weakly prime]] number in base 10<ref>{{Cite web|last=Weißstein|first=Eric W.|date=25 December 2020|title=Weakly Prime|url=https://mathworld.wolfram.com/WeaklyPrime.html|website=Wolfram MathWorld}}</ref>
* '''294,685''' = Markov number<ref name=A002559/>
* '''298,320''' = Keith number<ref name=A007629/>

===300,000 to 399,999===
* '''310,572''' = Motzkin number<ref name=A001006/>
* '''314,159''' = pi-prime
* '''316,749''' = number of reduced trees with 27 nodes<ref name=A000014/>
* '''317,811''' = Fibonacci number<ref name=A000045/>
* '''317,955''' = number of trees with 19 unlabeled nodes<ref name="auto"/>
* '''318,682''' = Kaprekar number<ref name=A006886/>
* '''325,878''' = Fine number<ref>{{cite OEIS|A000957|Fine's sequence (or Fine numbers): number of relations of valence greater than or equal to 1 on an n-set; also number of ordered rooted trees with n edges having root of even degree}}</ref>
* '''326,981''' = [[alternating factorial]]<ref>{{Cite OEIS|A005165|Alternating factorials}}</ref>
* '''329,967''' = Kaprekar number<ref name=A006886/>
* '''331,776''' = 24<sup>4</sup>
* '''332,640''' = 34th [[highly composite number]];<ref name=A002182/> harmonic divisor number<ref name=A001599/>
* '''333,333''' = repdigit
* '''333,667''' = [[sexy prime]] and [[unique prime]]<ref>{{Cite OEIS|A040017|Unique period primes}}</ref>
* '''333,673''' = sexy prime with 333,679
* '''333,679''' = sexy prime with 333,673
* '''337,500''' = 2<sup>2</sup> × 3<sup>3</sup> × 5<sup>5</sup>
* '''337,594''' = number of 25-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011/>
* '''349,716''' = number of 24-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed<ref name=A000013/>
* '''350,377''' = the 30,000th prime number
* '''351,351''' = only known odd [[abundant number]] that is not the sum of some of its proper, nontrivial (i.e. &gt;1) divisors {{OEIS|A122036}}.
* '''351,352''' = Kaprekar number<ref name=A006886/>
* '''355,419''' = Keith number<ref name=A007629/>
* '''356,643''' = Kaprekar number<ref name=A006886/>
* '''356,960''' = number of primitive polynomials of degree 23 over GF(2)<ref name=A011260/>
* '''360,360''' = harmonic divisor number;<ref name=A001599/> smallest number divisible by the numbers from 1 to 15 (there is no smaller number divisible by the numbers from 1 to 14 since any number divisible by 3 and 5 must be divisible by 15)
* '''362,880''' = 9!, highly totient number<ref name=A097942/>
* '''369,119''' = prime number which divides the sum of all primes less than or equal to it<ref>{{Cite OEIS|A007506|2=Primes p with property that p divides the sum of all primes <= p}}</ref>
* '''369,293''' = smallest prime with the property that inserting a digit anywhere in the number will always yield a composite<ref>{{Cite OEIS|A125001|2=Non-insertable primes: primes with property that no matter where you insert (or prepend or append) a digit you get a composite number (except for prepending a zero).}}</ref>
* '''370,261''' = first prime followed by a [[prime gap]] of over 100
* '''371,293''' = 13<sup>5</sup>, palindromic in base 12 (15AA51<sub>12</sub>)
* '''389,305''' = [[self-descriptive number]] in base 7
* '''390,313''' = Kaprekar number<ref name=A006886/>
* '''390,625''' = 5<sup>8</sup>
* '''397,585''' = Leyland number<ref name=A076980/>

===400,000 to 499,999===
* '''409,113''' = sum of the first nine [[factorial]]s
* '''422,481''' = smallest number whose fourth power is the sum of three smaller fourth powers
* '''423,393''' = Leyland number<ref name=A076980/>
* '''426,389''' = Markov number<ref name=A002559/>
* '''426,569''' = cyclic number in [[Duodecimal|base 12]]
* '''437,760''' to '''440,319''' = {{anchor|440000}}any of these numbers will cause the [[Apple II+]] and [[Apple IIe]] computers to crash to a monitor prompt when entered at the BASIC prompt, due to a short-cut in the Applesoft code programming of the overflow test when evaluating 16-bit numbers.<ref>{{cite web |url=http://www.txbobsc.com/scsc/scdocumentor/D912.html |title=Applesoft Disassembly -- S.d912 |access-date=2016-04-04 |url-status=live |archive-url=https://web.archive.org/web/20160415032535/http://www.txbobsc.com/scsc/scdocumentor/D912.html |archive-date=2016-04-15 }} Disassembled ROM. See comments at $DA1E.</ref> Entering ''440000'' at the prompt has been used to hack games that are protected against entering commands at the prompt after the game is loaded.
* '''444,444''' = repdigit
* '''456,976''' = 26<sup>4</sup>
* '''461,539''' = Kaprekar number<ref name=A006886/>
* '''466,830''' = Kaprekar number<ref name=A006886/>
* '''470,832''' = Pell number<ref name=A000129/>
* '''479,909''' = the 40,000th prime number
* '''483,840''' = highly totient number<ref name=A097942/>
* '''492,638''' = number of signed trees with 12 nodes<ref name="auto1"/>
* '''498,960''' = 35th [[highly composite number]]<ref name=A002182/>
* '''499,393''' = Markov number<ref name=A002559/>
* '''499,500''' = Kaprekar number<ref name=A006886/>

===500,000 to 599,999===
* '''500,500''' = Kaprekar number,<ref name=A006886/> sum of first 1,000 integers
* '''509,203''' = [[Riesel number|Riesel prime]]<ref>{{Cite OEIS|A101036|Riesel numbers}}</ref>
* '''510,510''' = the product of the first seven prime numbers, thus the seventh [[primorial]].<ref>{{Cite OEIS|A002110|Primorial numbers}}</ref> It is also the product of four consecutive [[Fibonacci number]]s&mdash;13, 21, 34, 55, the largest such sequence of any length to be also a primorial. And it is a double [[triangular number]], the sum of all even numbers from 0 to 1428.
* '''514,229''' = [[Fibonacci prime]],<ref>{{Cite OEIS|A005478|Prime Fibonacci numbers}}{{Cite OEIS|A178444|Markov numbers that are prime}}</ref> 
* '''518,859''' = [[Schröder–Hipparchus number]]<ref name=A001003/>
* '''524,287''' = Mersenne prime<ref name=A000668/>
* '''524,288''' = 2<sup>19</sup>
* '''524,649''' = Leyland number<ref name=A076980/>
* '''525,600''' = minutes in a non-leap year
* '''527,040''' = minutes in a leap year
* '''531,441''' = 3<sup>12</sup>
* '''533,169''' = Leyland number<ref name=A076980/>
* '''533,170''' = Kaprekar number<ref name=A006886/>
* '''537,824''' = 14<sup>5</sup>
* '''539,400''' = harmonic divisor number<ref name=A001599/>
* '''548,834''' = equal to the sum of the sixth powers of its digits
* '''554,400''' = 36th [[highly composite number]]<ref name=A002182/>
* '''555,555''' = repdigit
* '''586,081''' = number of prime numbers having seven digits.<ref>{{Cite OEIS|A006879|Number of primes with n digits.}}</ref>
* '''599,999''' = prime number.

===600,000 to 699,999===
* '''604,800''' = number of seconds in a week
* '''611,953''' = the 50,000th prime number
* '''614,656''' = 28<sup>4</sup>
* '''625,992''' = [[oeis:A005043|Riordan number]]
* '''629,933''' = number of reduced trees with 28 nodes<ref name=A000014/>
* '''645,120''' = double factorial of 14 
* '''646,018''' = Markov number<ref name=A002559/>
* '''649,532''' = number of 26-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011/>
* '''664,579''' = the number of primes under 10,000,000
* '''665,280''' = 37th [[highly composite number]]<ref name=A002182/>
* '''665,857'''/470,832 ≈ [[square root of 2|√2]]
* '''666,666''' = repdigit
* '''671,092''' = number of 25-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed<ref name=A000013/>
* '''676,157''' = Wedderburn–Etherington number<ref name=A001190/>
* '''678,570''' = Bell number<ref name=A000110/>
* '''694,280''' = Keith number<ref name=A007629/>
* '''695,520''' = harmonic divisor number<ref name=A001599/>

===700,000 to 799,999===
* '''700,001''' = prime number.
* '''707,281''' = 29<sup>4</sup>
* '''711,569''' = the 60,000th prime number
* '''720,720''' = 10th [[superior highly composite number]];<ref>{{Cite OEIS|A002201|Superior highly composite numbers}}</ref> 10th [[colossally abundant number]];<ref>{{Cite OEIS|A004490|Colossally abundant numbers}}</ref> 38th [[highly composite number]],<ref>{{Cite web |title=A002182 - OEIS |url=https://oeis.org/A002182 |access-date=2024-11-28 |website=oeis.org}}</ref> smallest number divisible by the numbers from 1 to 16
* '''725,760''' = highly totient number<ref name=A097942/>
* '''726,180''' = harmonic divisor number<ref name=A001599/>
* '''729,000''' = 90<sup>3</sup>
* '''739,397''' = largest prime that is both right- and left-[[truncatable prime|truncatable]].
* '''742,900''' = Catalan number<ref name=A000108/>
* '''753,480''' = harmonic divisor number<ref name=A001599/>
* '''759,375''' = 15<sup>5</sup>
* '''762,701''' – smallest known composite Riesel number
* '''765,623''' = [[emirp]], [[Friedman number|Friedman prime]] 5<sup>6</sup> × 7<sup>2</sup> − 6 ÷ 3
* '''777,777''' = repdigit, smallest natural number requiring 20 syllables in American English, 22 in British English, largest number in English not containing the letter 'i' in its name
* '''783,700''' = initial number of third century ''xx''00 to ''xx''99 (after [[400 (number)|400]] and 1,400) containing seventeen [[prime number]]s<ref>{{Cite OEIS|A186509|Centuries containing 17 primes}}</ref>{{efn|content=There are no centuries containing more than seventeen primes between 200 and 122,853,771,370,899 inclusive.<ref>{{Cite OEIS|A186311|Least century 100k to 100k+99 with exactly ''n'' primes}}</ref>}} {783,701, 783,703, 783,707, 783,719, 783,721, 783,733, 783,737, 783,743, 783,749, 783,763, 783,767, 783,779, 783,781, 783,787, 783,791, 783,793, 783,799}
* '''799,999''' = prime number.

===800,000 to 899,999===
* '''810,000''' = 30<sup>4</sup>
* '''823,065''' = number of trees with 20 unlabeled nodes<ref name="auto"/>
* '''823,543''' = 7<sup>7</sup>
* '''825,265''' = smallest [[Carmichael number]] with 5 prime factors
* '''832,040''' = Fibonacci number<ref name=A000045/>
* '''853,467''' = Motzkin number<ref name=A001006/>
* '''857,375''' = 95<sup>3</sup>
* '''873,612''' = 1<sup>1</sup> + 2<sup>2</sup> + 3<sup>3</sup> + 4<sup>4</sup> + 5<sup>5</sup> + 6<sup>6</sup> + 7<sup>7</sup>
* '''888,888''' = repdigit
* '''890,625''' = [[automorphic number]]<ref name=A003226/>

===900,000 to 999,999===
{{redirect|999999|the string of nines in pi|Six nines in pi}}
* '''900,001''' = prime number
* '''901,971''' = number of free 14-ominoes
* '''909,091''' = [[unique prime]] in base 10
* '''923,521''' = 31<sup>4</sup>
* '''925,765''' = [[Markov number]]<ref name=A002559/>
* '''925,993''' = Keith number<ref name=A007629/>
* '''950,976''' = [[harmonic divisor number]]<ref name=A001599/>
* '''956,619''': 956619^2=915119911161, and only the digits 1, 5, 6 and 9 are used in both this number and its [[Square (algebra) | square]].
* '''967,680''' = [[highly totient number]]<ref name=A097942/>
* '''970,299''' = 99<sup>3</sup>, the largest 6-digit cube
* '''998,001''' = 999<sup>2</sup>, the largest 6-digit square. The reciprocal of this number, in its expanded form, lists all three-digit numbers in order except 998.<ref>{{cite web | url=https://www.themarysue.com/one-divided-by-998001/ | title=Dividing one by 998001 produces list of three digit numbers | date=23 January 2012 }}</ref>
* '''998,991''' = largest [[triangular number]] with 6 digits and the 1413th triangular number
* '''999,983''' = largest 6-digit prime number
* '''999,999''' = repdigit. [[Rational number]]s with denominators 7 and 13 have 6-digit [[repetend]]s when expressed in [[decimal]] form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13.

===Prime numbers===

There are '''9,592''' primes less than 10<sup>5</sup>, where 99,991 is the largest prime number smaller than 100,000.

Increments of 10<sup>5</sup> from 100,000 through a [[1,000,000|one million]] have the following prime counts:

*'''8,392''' primes between 100,000 and 200,000.{{efn|content=Smallest ''p'' > 100,000 is 100,003 (9,593rd); largest ''p'' < 200,000 is 199,999 (17,984th).}} This is a difference of [[1200 (number)|1,200]] primes from the previous range.
**104,729 is the 10,000th prime, which is in this range.
**199,999 is prime.
*'''8,013''' primes between 200,000 and 300,000.{{efn|content=Smallest ''p'' > 200,000 is 200,003 (17,985th); largest ''p'' < 300,000 is 299,993 (25,997th).}} A difference of [[379 (number)|379]] primes from the previous range.
**224,737 is the 20,000th prime.
*'''7,863''' primes between 300,000 and 400,000.{{efn|content=Smallest ''p'' > 300,000 is 300,007 (25,998th); largest ''p'' < 400,000 is 399,989 (33,860th).}} A difference of [[150 (number)|150]] primes from the previous range.
** 350,377 is the 30,000th prime.
*'''7,678''' primes between 400,000 and 500,000.{{efn|content=Smallest ''p'' > 400,000 is 400,009 (33,861st); largest ''p'' < 500,000 is 499,979 (41,538th).}} A difference of [[185 (number)|185]] primes from the previous range. Here, the difference increases by a count of [[35 (number)|35]].
** 479,909 is the 40,000th prime.
* '''7,560''' primes between 500,000 and 600,000.{{efn|content=Smallest ''p'' > 500,000 is 500,009 (41,539th); largest ''p'' < 600,000 is 599,999 (49,098th).}} A difference of [[118 (number)|118]] primes from the previous range.
**'''[[7560 (number)|7,560]]''' is the twentieth highly composite number.<ref name=A002182/>
**599,999 is prime.
*'''7,445''' primes between 600,000 and 700,000.{{efn|content=Smallest ''p'' > 600,000 is 600,011 (49,099th); largest ''p'' < 700,000 is 699,967 (56,543rd).}} A difference of [[115 (number)|115]] primes from the previous range.
** 611,953 is the 50,000th prime.
*'''7,408''' primes between 700,000 and 800,000.{{efn|content=Smallest ''p'' > 700,000 is 700,001 (56,544th); largest ''p'' < 800,000 is 799,999 (63,951st).}} A difference of [[37 (number)|37]] primes from the previous range.
**700,001 and 799,999 are both prime. 
**746,773 is the 60,000th prime.
*'''7,323''' primes between 800,000 and 900,000.{{efn|content=Smallest ''p'' > 800,000 is 800,011 (63,952nd); largest ''p'' < 900,000 is 899,981 (71,274th).}} A difference of [[85 (number)|85]] primes from the previous range. Here, the difference increases by a count of [[48 (number)|48]]. 
** 882,377 is the 70,000th prime.
*'''7,224''' primes between 900,000 and [[1,000,000]].{{efn|content=Smallest ''p'' > 900,000 is 900,001 (71,275th); largest ''p'' < [[1,000,000]] is 999,983 (78,498th).}} A difference of [[99 (number)|99]] primes from the previous range. The difference increases again, by a count of [[14 (number)|14]].
** 900,001 is prime.
In total, there are '''68,906''' prime numbers between 100,000 and 1,000,000.<ref>{{Cite web |url=https://primes.utm.edu/nthprime/ |title=The Nth Prime Page |last1=Caldwell |first1=Chris K. |author-link=PrimePages |website= PrimePages |access-date=2022-12-03 }} From the differences of the [[Sequence|prime indexes]] of the smallest and largest prime numbers in ranges of increments of 10<sup>5</sup>, plus 1 (for each range).</ref>

==Notes==
{{Notelist}}

==References==
{{Reflist}}

{{Large numbers}}
{{Integers|10}}

{{DEFAULTSORT:100000}}

[[Category:Integers]]
[[Category:Powers of ten]]