1,000,000

Template:Redirect Template:Pp-vandalism Template:EngvarB Template:Infobox number Template:Sister project 1,000,000 (one million), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione (milione in modern Italian), from mille, "thousand", plus the augmentative suffix -one.<ref>Template:Cite web</ref>

It is commonly abbreviated:

• in British English as m<ref>Template:Cite web</ref><ref>Template:Cite book</ref><ref name="EUStyleGuide">Template:Cite book</ref> (not to be confused with the metric prefix "m" milli, for Template:Val, or with metre),
• M,<ref>Template:Cite web</ref><ref>Template:Cite web</ref>
• MM ("thousand thousands", from Latin "Mille"; not to be confused with the Roman numeral Template:Rn = 2,000),
• mm (not to be confused with millimetre), or
• mn, mln, or mio can be found in financial contexts.<ref name="M&MM">Template:Cite web</ref><ref>Template:Cite web</ref>

In scientific notation, it is written as Template:Val or 10⁶.<ref>Template:Cite book</ref> Physical quantities can also be expressed using the SI prefix mega (M), when dealing with SI units; for example, 1 megawatt (1 MW) equals 1,000,000 watts.

The meaning of the word "million" is common to the short scale and long scale numbering systems, unlike the larger numbers, which have different names in the two systems.

The million is sometimes used in the English language as a metaphor for a very large number, as in "Not in a million years" and "You're one in a million", or a hyperbole, as in "I've walked a million miles" and "You've asked a million-dollar question".

1,000,000 is also the square of 1000 and the cube of 100.

File:Visualisation 1 million.svg

Visualisation of powers of ten from 1 to 1 million

Visualizing one million

Even though it is often stressed that counting to precisely a million would be an exceedingly tedious task due to the time and concentration required, there are many ways to bring the number "down to size" in approximate quantities, ignoring irregularities or packing effects.

• Information: Not counting spaces, the text printed on 136 pages of an Encyclopædia Britannica, or 600 pages of pulp paperback fiction contains approximately one million characters.
• Length: There are one million millimetres in a kilometre, and roughly a million sixteenths of an inch in a mile (1 sixteenth = 0.0625). A typical car tire might rotate a million times in a Template:Convert trip, while the engine would do several times that number of revolutions.
• Fingers: If the width of a human finger is Template:Convert, then a million fingers lined up would cover a distance of Template:Convert. If a person walks at a speed of Template:Convert, it would take them approximately five and a half hours to reach the end of the fingers.
• Area: A square a thousand objects or units on a side contains a million such objects or square units, so a million holes might be found in less than three square yards of window screen, or similarly, in about one half square foot (400–500 cm²) of bed sheet cloth. A city lot 70 by 100 feet is about a million square inches.
• Volume: The cube root of one million is one hundred, so a million objects or cubic units is contained in a cube a hundred objects or linear units on a side. A million grains of table salt or granulated sugar occupies about Template:Convert, the volume of a cube one hundred grains on a side. One million cubic inches would be the volume of a small room Template:Frac feet long by Template:Frac feet wide by Template:Frac feet high.
• Mass: A million cubic millimetres (small droplets) of water would have a volume of one litre and a mass of one kilogram. A million millilitres or cubic centimetres (one cubic metre) of water has a mass of a million grams or one tonne.
• Weight: A million Template:Convert honey bees would weigh the same as an Template:Convert person.
• Landscape: A pyramidal hill Template:Convert wide at the base and Template:Convert high would weigh about a million short tons.
• Computer: A display resolution of 1,280 by 800 pixels contains 1,024,000 pixels.
• Money: A U.S. dollar bill of any denomination weighs Template:Convert. There are 454 grams in a pound. One million dollar bills would weigh Template:Convert or 1 tonne (just over 1 short ton).
• Time: A million seconds, 1 megasecond, is 11.57 days.

In Indian English and Pakistani English, it is also expressed as 10 lakh. Lakh is derived from Template:Transliteration for 100,000 in Sanskrit.

File:One million dots 1080p.png

One million black dots (pixels) – each tile with white or grey background contains 1000 dots (full image)

Selected 7-digit numbers (1,000,001–9,999,999)

1,000,001 to 1,999,999

• 1,000,003 = Smallest 7-digit prime number
• 1,000,405 = Smallest triangular number with 7 digits and the 1,414th triangular number
• 1,002,001 = 1001², palindromic square
• 1,006,301 = First number of the first pair of prime quadruplets occurring thirty apart ({1006301, 1006303, 1006307, 1006309} and {1006331, 1006333, 1006337, 1006339})<ref>Template:Cite OEIS</ref>
• 1,024,000 = Sometimes, the number of bytes in a megabyte<ref>Tracing the History of the Computer - History of the Floppy Disk</ref>
• 1,030,301 = 101³, palindromic cube
• 1,037,718 = Large Schröder number
• 1,048,576 = 1024² = 32⁴ = 16⁵ = 4¹⁰ = 2²⁰, the number of bytes in a mebibyte (previously called a megabyte)
• 1,048,976 = smallest 7 digit Leyland number
• 1,058,576 = Leyland number
• 1,058,841 = 7⁶ x 3²
• 1,077,871 = the amount of prime numbers between 0 and 16777216(2^24)
• 1,081,080 = 39th highly composite number<ref name=A002182>Template:Cite web</ref>
• 1,084,051 = fifth Keith prime<ref name=A007629>Template:Cite OEIS</ref>
• 1,089,270 = harmonic divisor number<ref name=A001599>Template:Cite OEIS</ref>
• 1,111,111 = repunit
• 1,112,083 = logarithmic number<ref>Template:Cite OEIS</ref>
• 1,129,308³² + 1 is prime<ref>Template:Cite OEIS</ref>
• 1,136,689 = Pell number,<ref name=A000129>Template:Cite OEIS</ref> Markov number<ref name=A002559>Template:Cite OEIS</ref>
• 1,174,281 = Fine number<ref name=A000957>Template:Cite OEIS</ref>
• 1,185,921 = 1089² = 33⁴
• 1,200,304 = 1⁷ + 2⁷ + 3⁷ + 4⁷ + 5⁷ + 6⁷ + 7⁷ <ref>Template:Cite OEIS</ref>
• 1,203,623 = smallest unprimeable number ending in 3<ref>Template:Cite book</ref><ref>Template:Cite OEIS</ref>
• 1,234,321 = 1111², palindromic square
• 1,246,863 = Number of 27-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011>Template:Cite OEIS</ref>
• 1,256,070 = number of reduced trees with 29 nodes<ref name=A000014>Template:Cite OEIS</ref>
• 1,262,180 = number of triangle-free graphs on 12 vertices<ref>Template:Cite OEIS</ref>
• 1,278,818 = Markov number<ref name=A002559/>
• 1,290,872 = number of 26-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>
• 1,296,000 = number of primitive polynomials of degree 25 over GF(2)<ref name=A011260>Template:Cite OEIS</ref>
• 1,299,709 = 100,000th prime number
• 1,336,336 = 1156² = 34⁴
• 1,346,269 = Fibonacci number,<ref name=A000045>Template:Cite OEIS</ref> Markov number<ref name=A002559/>
• 1,367,631 = 111³, palindromic cube
• 1,388,705 = number of prime knots with 16 crossings
• 1,413,721 = square triangular number<ref>Template:Cite OEIS</ref>
• 1,419,857 = 17⁵
• 1,421,280 = harmonic divisor number<ref name=A001599/>
• 1,441,440 = 11th colossally abundant number,<ref name=A004490>Template:Cite OEIS</ref> 11th superior highly composite number,<ref name=A002201>Template:Cite OEIS</ref> 40th highly composite number<ref name="A002182" />
• 1,441,889 = Markov number<ref name=A002559/>
• 1,500,625 = 1225² = 35⁴
• 1,539,720 = harmonic divisor number<ref name=A001599/>
• 1,563,372 = Wedderburn-Etherington number<ref name=A001190>Template:Cite OEIS</ref>
• 1,594,323 = 3¹³
• 1,596,520 = Leyland number
• 1,606,137 = number of ways to partition {1,2,3,4,5,6,7,8,9} and then partition each cell (block) into subcells.<ref>Template:Cite OEIS</ref>
• 1,607,521/1,136,689 ≈ √2
• 1,647,086 = Leyland number
• 1,671,800 = Initial number of first century xx00 to xx99 consisting entirely of composite numbers<ref>Template:Cite OEIS</ref>
• 1,679,616 = 1296² = 36⁴ = 6⁸
• 1,686,049 = Markov prime
• 1,687,989 = number of square (0,1)-matrices without zero rows and with exactly 7 entries equal to 1<ref>Template:Cite OEIS</ref>
• 1,719,900 = number of primitive polynomials of degree 26 over GF(2)<ref name=A011260/>
• 1,730,787 = Riordan number
• 1,741,725 = equal to the sum of the seventh power of its digits
• 1,771,561 = 1331² = 121³ = 11⁶, also, Commander Spock's estimate for the tribble population in the Star Trek episode "The Trouble with Tribbles"
• 1,864,637 = k such that the sum of the squares of the first k primes is divisible by k.<ref>Template:Cite OEIS</ref>
• 1,874,161 = 1369² = 37⁴
• 1,889,568 = 18⁵
• 1,928,934 = 2 x 3⁹ x 7²
• 1,941,760 = Leyland number
• 1,953,125 = 125³ = 5⁹
• 1,978,405 = 1⁶ + 2⁶ + 3⁶ + 4⁶ + 5⁶ + 6⁶ + 7⁶ + 8⁶ + 9⁶ + 10⁶ <ref>Template:Cite OEIS</ref>

2,000,000 to 2,999,999

• 2,000,002 = number of surface-points of a tetrahedron with edge-length 1000<ref>Template:Cite OEIS</ref>
• 2,000,376 = 126³
• 2,012,174 = Leyland number
• 2,012,674 = Markov number<ref name=A002559/>
• 2,027,025 = double factorial of 15
• 2,085,136 = 1444² = 38⁴
• 2,097,152 = 128³ = 8⁷ = 2²¹
• 2,097,593 = Leyland prime<ref>Template:Cite OEIS</ref> using 2 & 21 (2²¹ + 21²)
• 2,118,107 = largest integer <math>n\le10^{10}</math> such that <math>\sum_{k=0}^{22}\omega(n+k)\le57</math>, where <math>\omega(n)</math> is the prime omega function for distinct prime factors. The corresponding sum for 2118107 is indeed 57.
• 2,124,679 = largest known Wolstenholme prime<ref>Template:Cite OEIS</ref>
• 2,144,505 = number of trees with 21 unlabeled nodes<ref name=A000055>Template:Cite OEIS</ref>
• 2,162,160 = 41st highly composite number,<ref name="A002182" /> 2079th triangular number
• 2,177,399 = smallest pandigital number in base 8.<ref>Template:Cite OEIS</ref>
• 2,178,309 = Fibonacci number<ref name=A000045/>
• 2,222,222 = repdigit
• 2,266,502 = number of signed trees with 13 nodes<ref>Template:Cite OEIS</ref>
• 2,274,205 = number of different ways of expressing 1,000,000,000 as the sum of two prime numbers<ref>Template:Cite OEIS</ref>
• 2,313,441 = 1521² = 39⁴
• 2,356,779 = Motzkin number<ref name=A001006>Template:Cite OEIS</ref>
• 2,405,236 = Number of 28-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011/>
• 2,423,525 = Markov number<ref name=A002559/>
• 2,476,099 = 19⁵
• 2,485,534 = number of 27-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed<ref name=A000013/>
• 2,515,169 = number of reduced trees with 30 nodes<ref name=A000014/>
• 2,560,000 = 1600² = 40⁴
• 2,567,284 = number of partially ordered set with 10 unlabelled elements<ref>Template:Cite OEIS</ref>
• 2,598,560 = chances of getting a royal flush in a hand of poker (52!/5!47!) (n choose r)
• 2,646,723 = little Schroeder number
• 2,674,440 = Catalan number<ref name=A000108>Template:Cite OEIS</ref>
• 2,692,537 = Leonardo prime
• 2,704,900 = initial number of fourth century xx00 to xx99 containing seventeen prime numbers<ref>Template:Cite OEIS</ref>Template:Efn {2,704,901, 2,704,903, 2,704,907, 2,704,909, 2,704,927, 2,704,931, 2,704,937, 2,704,939, 2,704,943, 2,704,957, 2,704,963, 2,704,969, 2,704,979, 2,704,981, 2,704,987, 2,704,993, 2,704,997}
• 2,744,210 = Pell number<ref name=A000129/>
• 2,796,203 = Wagstaff prime,<ref>Template:Cite OEIS</ref> Jacobsthal prime
• 2,825,761 = 1681² = 41⁴
• 2,890,625 = 1-automorphic number<ref name=A003226>Template:Cite OEIS</ref>
• 2,922,509 = Markov prime
• 2,985,984 = 1728² = 144³ = 12⁶ = 1,000,000₁₂ AKA a great-great-gross

3,000,000 to 3,999,999

• 3,111,696 = 1764² = 42⁴
• 3,200,000 = 20⁵
• 3,263,442 = product of the first five terms of Sylvester's sequence
• 3,263,443 = sixth term of Sylvester's sequence<ref>Template:Cite OEIS</ref>
• 3,276,509 = Markov prime
• 3,294,172 = 2²×7⁷<ref>Template:Cite OEIS</ref>
• 3,301,819 = alternating factorial<ref>Template:Cite OEIS</ref>
• 3,333,333 = repdigit
• 3,360,633 = palindromic in 3 consecutive bases: 6281826₉ = 3360633₁₀ = 1995991₁₁
• 3,418,801 = 1849² = 43⁴
• 3,426,576 = number of free 15-ominoes
• 3,524,578 = Fibonacci number,<ref name=A000045/> Markov number<ref name=A002559/>
• 3,554,688 = 2-automorphic number<ref>Template:Cite OEIS</ref>
• 3,626,149 = Wedderburn–Etherington prime<ref name=A001190/>
• 3,628,800 = 10!
• 3,748,096 = 1936² = 44⁴
• 3,880,899/2,744,210 ≈ √2

4,000,000 to 4,999,999

• 4,008,004 = 2002², palindromic square
• 4,037,913 = sum of the first ten factorials
• 4,084,101 = 21⁵
• 4,100,625 = 2025² = 45⁴
• 4,194,304 = 2048² = 4¹¹ = 2²²
• 4,194,788 = Leyland number
• 4,202,496 = number of primitive polynomials of degree 27 over GF(2)<ref name=A011260/>
• 4,208,945 = Leyland number
• 4,210,818 = equal to the sum of the seventh powers of its digits
• 4,213,597 = Bell number<ref>Template:Cite OEIS</ref>
• 4,260,282 = Fine number<ref name=A000957/>
• 4,297,512 = 12-th derivative of x^x at x=1<ref>Template:Cite OEIS</ref>
• 4,324,320 = 12th colossally abundant number,<ref name=A004490/> 12th superior highly composite number,<ref name=A002201/> pronic number
• 4,400,489 = Markov number<ref name=A002559/>
• 4,444,444 = repdigit
• 4,477,456 = 2116² = 46⁴
• 4,636,390 = Number of 29-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011/>
• 4,741,632 = number of primitive polynomials of degree 28 over GF(2)<ref name=A011260/>
• 4,782,969 = 2187² = 9⁷ = 3¹⁴
• 4,782,974 = n such that n | (3ⁿ + 5)<ref name=A277288>Template:Cite OEIS</ref>
• 4,785,713 = Leyland number
• 4,794,088 = number of 28-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed<ref name=A000013/>
• 4,805,595 = Riordan number
• 4,826,809 = 2197² = 169³ = 13⁶
• 4,879,681 = 2209² = 47⁴
• 4,913,000 = 170³
• 4,937,284 = 2222²

5,000,000 to 5,999,999

• 5,049,816 = number of reduced trees with 31 nodes<ref name=A000014/>
• 5,096,876 = number of prime numbers having eight digits<ref>Template:Cite OEIS</ref>
• 5,134,240 = the largest number that cannot be expressed as the sum of distinct fourth powers
• 5,153,632 = 22⁵
• 5,221,225 = 2285², palindromic square
• 5,293,446 = Large Schröder number
• 5,308,416 = 2304² = 48⁴
• 5,496,925 = first cyclic number in base 6
• 5,555,555 = repdigit
• 5,623,756 = number of trees with 22 unlabeled nodes<ref name=A000055/>
• 5,702,887 = Fibonacci number<ref name=A000045/>
• 5,761,455 = the number of primes under 100,000,000
• 5,764,801 = 2401² = 49⁴ = 7⁸
• 5,882,353 = 588² + 2353²

6,000,000 to 6,999,999

• 6,250,000 = 2500² = 50⁴
• 6,436,343 = 23⁵
• 6,536,382 = Motzkin number<ref name=A001006/>
• 6,625,109 = Pell number,<ref name=A000129/> Markov number<ref name=A002559/>
• 6,666,666 = repdigit
• 6,765,201 = 2601² = 51⁴
• 6,948,496 = 2636², palindromic square

7,000,000 to 7,999,999

• 7,109,376 = 1-automorphic number<ref name=A003226/>
• 7,311,616 = 2704² = 52⁴
• 7,453,378 = Markov number<ref name=A002559/>
• 7,529,536 = 2744² = 196³ = 14⁶
• 7,652,413 = Largest n-digit pandigital prime
• 7,777,777 = repdigit
• 7,779,311 = A hit song written by Prince and released in 1982 by The Time
• 7,861,953 = Leyland number
• 7,890,481 = 2809² = 53⁴
• 7,906,276 = pentagonal triangular number
• 7,913,837 = Keith number<ref name=A007629/>
• 7,962,624 = 24⁵

8,000,000 to 8,999,999

• 8,000,000 = 200³, Used to represent infinity in Japanese mythology
• 8,053,393 = number of prime knots with 17 crossings
• 8,108,731 = repunit prime in base 14
• 8,388,607 = second composite Mersenne number with a prime exponent
• 8,388,608 = 2²³
• 8,389,137 = Leyland number
• 8,399,329 = Markov number<ref name=A002559/>
• 8,436,379 = Wedderburn-Etherington number<ref name=A001190/>
• 8,503,056 = 2916² = 54⁴
• 8,675,309 = A hit song for Tommy Tutone (also a twin prime with 8,675,311)
• 8,675,311 = Twin prime with 8,675,309
• 8,877,691 = number of nonnegative integers with distinct decimal digits<ref>Template:Cite OEIS</ref>
• 8,888,888 = repdigit
• 8,946,176 = self-descriptive number in base 8
• 8,964,800 = Number of 30-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011/>

9,000,000 to 9,999,999

• 9,000,000 = 3000²
• 9,150,625 = 3025² = 55⁴
• 9,227,465 = Fibonacci number,<ref name=A000045/> Markov number<ref name=A002559/>
• 9,256,396 = number of 29-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed<ref name=A000013/>
• 9,261,000 = 210³
• 9,369,319 = Newman–Shanks–Williams prime<ref>Template:Cite OEIS</ref>
• 9,647,009 = Markov number<ref name=A002559/>
• 9,653,449 = square Stella octangula number
• 9,581,014 = n such that n | (3ⁿ + 5)<ref name=A277288/>
• 9,663,500 = Initial number of first century xx00 to xx99 that possesses an identical prime pattern to any century with four or fewer digits: its prime pattern of {9663503, 9663523, 9663527, 9663539, 9663553, 9663581, 9663587} is identical to {5903, 5923, 5927, 5939, 5953, 5981, 5987}<ref>Template:Cite OEIS</ref><ref>Template:Cite OEIS</ref>
• 9,694,845 = Catalan number<ref name=A000108/>
• 9,699,690 = eighth primorial
• 9,765,625 = 3125² = 25⁵ = 5¹⁰
• 9,800,817 = equal to the sum of the seventh powers of its digits
• 9,834,496 = 3136² = 56⁴
• 9,865,625 = Leyland number
• 9,926,315 = equal to the sum of the seventh powers of its digits
• 9,938,375 = 215³, the largest 7-digit cube
• 9,997,156 = largest triangular number with 7 digits and the 4,471st triangular number
• 9,998,244 = 3162², the largest 7-digit square
• 9,999,991 = Largest 7-digit prime number
• 9,999,999 = repdigit

Prime numbers

There are 78,498 primes less than 10⁶, where 999,983 is the largest prime number smaller than 1,000,000.

Increments of 10⁶ from 1 million through a 10 million have the following prime counts:

• 70,435 primes between 1,000,000 and 2,000,000.
• 67,883 primes between 2,000,000 and 3,000,000.
• 66,330 primes between 3,000,000 and 4,000,000.
• 65,367 primes between 4,000,000 and 5,000,000.
• 64,336 primes between 5,000,000 and 6,000,000.
• 63,799 primes between 6,000,000 and 7,000,000.
• 63,129 primes between 7,000,000 and 8,000,000.
• 62,712 primes between 8,000,000 and 9,000,000.
• 62,090 primes between 9,000,000 and 10,000,000.

In total, there are 586,081 prime numbers between 1,000,000 and 10,000,000.<ref>Template:Cite 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>

See also

• Huh (god), depictions of whom were also used in hieroglyphs to represent 1,000,000
• Megagon
• Millionaire
• Names of large numbers
• Orders of magnitude (numbers) to help compare dimensionless numbers between 1,000,000 and 10,000,000 (10⁶ and 10⁷)