100,000

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Template:Redirect Template:Pp-pc Template:Pp-move-indef Template:Infobox number 100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.

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, Lao, Khmer and Vietnamese languages also have separate words for this number: {{#invoke:Lang|lang}}, {{#invoke:Lang|lang}}, {{#invoke:Lang|lang}} (all saen), and {{#invoke:Lang|lang}} respectively. The Malagasy word is {{#invoke:Lang|lang}}.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

In the Netherlands, a 'ton' is a colloquialism for a denomination of 100.000 monetary units. In the 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 metric tonne. While usage is common in the Netherlands, it sees almost no use in Belgium.Template:Cn

In Cyrillic numerals, it is known as the legion (Template:Script): File:Legion-1000000-Cyrillic.svg or File:Несведь.svg.

Values of 100,000

In astronomy, 100,000 metres, 100 kilometres, or 100 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 incoming solar radiation.

In the Irish language, Template:Wikt-lang ({{#invoke:IPA|main}}) 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>Template:Cite OEIS</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>{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref>

  • 147,640 = Keith number<ref name=A007629 />
  • 148,149 = Kaprekar number<ref name=A006886>Template:Cite OEIS</ref>
  • 152,381 = unique prime in base 20
  • 156,146 = Keith number<ref name=A007629 />
  • 155,921 = smallest prime number being the only prime in an interval from 100n to 100n + 99
  • 160,000 = 204
  • 160,176 = number of reduced trees with 26 nodes<ref name=A000014>Template:Cite OEIS</ref>
  • 161,051 = 115
  • 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>Template:Cite OEIS</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>Template:Cite OEIS</ref>
  • 176,906 = number of 24-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011>Template:Cite OEIS</ref>
  • 177,147 = 311
  • 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>Template:Cite OEIS</ref>
  • 183,186 = Keith number<ref name=A007629 />
  • 183,231 = number of partially ordered set with 9 unlabeled elements<ref>Template:Cite OEIS</ref>
  • 187,110 = Kaprekar number<ref name=A006886 />
  • 189,819 = number of letters in the longest English word, taking 3 hours to pronounce<ref>{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref>

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>Template:Cite OEIS</ref>
  • 206,098 – Large Schröder number
  • 206,265 = rounded number of arc seconds in a radian (see also parsec), since Template:Sfrac = 206,264.806...
  • 207,360 = highly totient number<ref name=A097942/>
  • 208,012 = the Catalan number C12<ref name=A000108>Template:Cite OEIS</ref>
  • 208,335 = the largest number to be both triangular and square pyramidal<ref>Template:Cite OEIS</ref>
  • 208,495 = Kaprekar number<ref name=A006886/>
  • 212,159 = smallest unprimeable number ending in 1, 3, 7 or 9<ref>Template:Cite book</ref><ref>Template:Cite OEIS</ref>
  • 221,760 = 32nd highly composite number<ref name=A002182/>
  • 222,222 = repdigit
  • 224,737 = the 20,000th prime number
  • 227,475 = Riordan number
  • 234,256 = 224
  • 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 = 125, 100,00012, AKA a gross-great-gross (10012 great-grosses); the smallest fifth power that can be represented as the sum of only 6 fifth powers: 125 = 45 + 55 + 65 + 75 + 95 + 115
  • 253,293 = number of prime knots with 15 crossings
  • 255,168 = number of ways to play tic tac toe<ref>{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref>

|CitationClass=web }}</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>Template:Cite OEIS</ref>
  • 326,981 = alternating factorial<ref>Template:Cite OEIS</ref>
  • 329,967 = Kaprekar number<ref name=A006886/>
  • 331,776 = 244
  • 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>Template:Cite OEIS</ref>
  • 333,673 = sexy prime with 333,679
  • 333,679 = sexy prime with 333,673
  • 337,500 = 22 × 33 × 55
  • 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. >1) divisors (sequence A122036 in the OEIS).
  • 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>Template:Cite OEIS</ref>
  • 369,293 = smallest prime with the property that inserting a digit anywhere in the number will always yield a composite<ref>Template:Cite OEIS</ref>
  • 370,261 = first prime followed by a prime gap of over 100
  • 371,293 = 135, palindromic in base 12 (15AA5112)
  • 389,305 = self-descriptive number in base 7
  • 390,313 = Kaprekar number<ref name=A006886/>
  • 390,625 = 58
  • 397,585 = Leyland number<ref name=A076980/>

400,000 to 499,999

  • 409,113 = sum of the first nine factorials
  • 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 base 12
  • 437,760 to 440,319 = Template:Anchorany 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>{{#invoke:citation/CS1|citation

|CitationClass=web }} 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 = 264
  • 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 prime<ref>Template:Cite OEIS</ref>
  • 510,510 = the product of the first seven prime numbers, thus the seventh primorial.<ref>Template:Cite OEIS</ref> It is also the product of four consecutive Fibonacci numbers—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>Template:Cite OEISTemplate:Cite OEIS</ref>
  • 518,859 = Schröder–Hipparchus number<ref name=A001003/>
  • 524,287 = Mersenne prime<ref name=A000668/>
  • 524,288 = 219
  • 524,649 = Leyland number<ref name=A076980/>
  • 525,600 = minutes in a non-leap year
  • 527,040 = minutes in a leap year
  • 531,441 = 312
  • 533,169 = Leyland number<ref name=A076980/>
  • 533,170 = Kaprekar number<ref name=A006886/>
  • 537,824 = 145
  • 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>Template:Cite OEIS</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 = 284
  • 625,992 = 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 ≈ √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

|CitationClass=web }}</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 = 903
  • 739,397 = largest prime that is both right- and left-truncatable.
  • 742,900 = Catalan number<ref name=A000108/>
  • 753,480 = harmonic divisor number<ref name=A001599/>
  • 759,375 = 155
  • 762,701 – smallest known composite Riesel number
  • 765,623 = emirp, Friedman prime 56 × 72 − 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 xx00 to xx99 (after 400 and 1,400) containing seventeen prime numbers<ref>Template:Cite OEIS</ref>Template:Efn {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 = 304
  • 823,065 = number of trees with 20 unlabeled nodes<ref name="auto"/>
  • 823,543 = 77
  • 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 = 953
  • 873,612 = 11 + 22 + 33 + 44 + 55 + 66 + 77
  • 888,888 = repdigit
  • 890,625 = automorphic number<ref name=A003226/>

900,000 to 999,999

Template:Redirect

  • 900,001 = prime number
  • 901,971 = number of free 14-ominoes
  • 909,091 = unique prime in base 10
  • 923,521 = 314
  • 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.
  • 967,680 = highly totient number<ref name=A097942/>
  • 970,299 = 993, the largest 6-digit cube
  • 998,001 = 9992, the largest 6-digit square. The reciprocal of this number, in its expanded form, lists all three-digit numbers in order except 998.<ref>{{#invoke:citation/CS1|citation

|CitationClass=web }}</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 numbers with denominators 7 and 13 have 6-digit repetends 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 105, where 99,991 is the largest prime number smaller than 100,000.

Increments of 105 from 100,000 through a one million have the following prime counts:

  • 8,392 primes between 100,000 and 200,000.Template:Efn This is a difference of 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.Template:Efn A difference of 379 primes from the previous range.
    • 224,737 is the 20,000th prime.
  • 7,863 primes between 300,000 and 400,000.Template:Efn A difference of 150 primes from the previous range.
    • 350,377 is the 30,000th prime.
  • 7,678 primes between 400,000 and 500,000.Template:Efn A difference of 185 primes from the previous range. Here, the difference increases by a count of 35.
    • 479,909 is the 40,000th prime.
  • 7,560 primes between 500,000 and 600,000.Template:Efn A difference of 118 primes from the previous range.
    • 7,560 is the twentieth highly composite number.<ref name=A002182/>
    • 599,999 is prime.
  • 7,445 primes between 600,000 and 700,000.Template:Efn A difference of 115 primes from the previous range.
    • 611,953 is the 50,000th prime.
  • 7,408 primes between 700,000 and 800,000.Template:Efn A difference of 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.Template:Efn A difference of 85 primes from the previous range. Here, the difference increases by a count of 48.
    • 882,377 is the 70,000th prime.
  • 7,224 primes between 900,000 and 1,000,000.Template:Efn A difference of 99 primes from the previous range. The difference increases again, by a count of 14.
    • 900,001 is prime.

In total, there are 68,906 prime numbers between 100,000 and 1,000,000.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }} From the differences of the prime indexes of the smallest and largest prime numbers in ranges of increments of 105, plus 1 (for each range).</ref>

Notes

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References

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Template:Large numbers Template:Integers

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