1,000,000


1,000,000, 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, from mille, "thousand", plus the augmentative suffix -one.
It is commonly abbreviated:
  • in British English as m, M, MM,mm, or mn, mln, or mio can be found in financial contexts.
In scientific notation, it is written as or 106. Physical quantities can also be expressed using the SI prefix mega, when dealing with SI units; for example, 1 megawatt 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.
[Image:Visualisation 1 million.svg|thumb|240px|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. A typical car tire might rotate a million times in a trip, while the engine would do several times that number of revolutions.
  • Fingers: If the width of a human finger is, then a million fingers lined up would cover a distance of. If a person walks at a speed of, 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 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, the volume of a cube one hundred grains on a side. One million cubic inches would be the volume of a small room feet long by feet wide by feet high.
  • Mass: A million cubic millimetres of water would have a volume of one litre and a mass of one kilogram. A million millilitres or cubic centimetres of water has a mass of a million grams or one tonne.
  • Weight: A million honey bees would weigh the same as an person.
  • Landscape: A pyramidal hill wide at the base and 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 has a mass of. One million dollar bills have a mass of or 1 tonne.
  • 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 for 100,000 in Sanskrit.
File:One_million_dots_1080p.png|thumb|240px|One million black dots - each tile with white or grey background contains 1000 dots

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

1,000,001 to 1,999,999

1,000,003 = Smallest 7-digit prime number1,000,405 = Smallest triangular number with 7 digits and the 1,414th triangular number1,002,001 = 10012, palindromic square1,006,301 = First number of the first pair of prime quadruplets occurring thirty apart 1,024,000 = Sometimes, the number of bytes in a megabyte1,030,301 = 1013, palindromic cube1,037,718 = Large Schröder number1,048,576 = 10242 = 324 = 165 = 410 = 220, the number of bytes in a mebibyte 1,048,976 = smallest 7 digit Leyland number1,058,576 = Leyland number1,058,841 = 76 x 321,077,871 = the amount of prime numbers between 0 and 167772161,081,080 = 39th highly composite number1,084,051 = fifth Keith prime1,089,270 = harmonic divisor number1,111,111 = repunit1,112,083 = logarithmic number1,129,30832 + 1 is prime1,136,689 = Pell number, Markov number1,174,281 = Fine number1,185,921 = 10892 = 3341,200,304 = 17 + 27 + 37 + 47 + 57 + 67 + 77 1,203,623 = smallest unprimeable number ending in 31,234,321 = 11112, palindromic square1,246,863 = Number of 27-bead necklaces where complements are equivalent1,256,070 = number of reduced trees with 29 nodes1,262,180 = number of triangle-free graphs on 12 vertices1,278,818 = Markov number1,290,872 = number of 26-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed1,296,000 = number of primitive polynomials of degree 25 over GF1,299,709 = 100,000th prime number1,336,336 = 11562 = 3441,346,269 = Fibonacci number, Markov number1,367,631 = 1113, palindromic cube1,388,705 = number of prime knots with 16 crossings1,413,721 = square triangular number1,419,857 = 1751,421,280 = harmonic divisor number1,441,440 = 11th colossally abundant number, 11th superior highly composite number, 40th highly composite number1,441,889 = Markov number1,500,625 = 12252 = 3541,539,720 = harmonic divisor number1,563,372 = Wedderburn-Etherington number1,594,323 = 3131,596,520 = Leyland number1,606,137 = number of ways to partition and then partition each cell into subcells.1,607,521/1,136,689 ≈ √21,647,086 = Leyland number1,671,800 = Initial number of first century xx00 to xx99 consisting entirely of composite numbers1,679,616 = 12962 = 364 = 681,686,049 = Markov prime1,687,989 = number of square -matrices without zero rows and with exactly 7 entries equal to 11,719,900 = number of primitive polynomials of degree 26 over GF1,730,787 = Riordan number1,741,725 = equal to the sum of the seventh power of its digits1,771,561 = 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.1,874,161 = 13692 = 3741,889,568 = 1851,928,934 = 2 x 39 x 721,941,760 = Leyland number1,953,125 = 1253 = 591,978,405 = 16 + 26 + 36 + 46 + 56 + 66 + 76 + 86 + 96 + 106

2,000,000 to 2,999,999

2,000,002 = number of surface-points of a tetrahedron with edge-length 10002,000,376 = 12632,012,174 = Leyland number2,012,674 = Markov number2,027,025 = double factorial of 152,085,136 = 14442 = 3842,097,152 = 1283 = 87 = 2212,097,593 = Leyland prime using 2 & 21 2,118,107 = largest integer such that, where is the prime omega function for distinct prime factors. The corresponding sum for 2118107 is indeed 57.2,124,679 = largest known Wolstenholme prime2,144,505 = number of trees with 21 unlabeled nodes2,162,160 = 41st highly composite number, 2079th triangular number2,177,399 = smallest pandigital number in base 8.2,178,309 = Fibonacci number2,222,222 = repdigit2,266,502 = number of signed trees with 13 nodes2,274,205 = number of different ways of expressing 1,000,000,000 as the sum of two prime numbers2,313,441 = 15212 = 3942,356,779 = Motzkin number2,405,236 = Number of 28-bead necklaces where complements are equivalent2,423,525 = Markov number2,476,099 = 1952,485,534 = number of 27-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed2,515,169 = number of reduced trees with 30 nodes2,560,000 = 16002 = 4042,567,284 = number of partially ordered set with 10 unlabelled elements2,598,560 = chances of getting a royal flush in a hand of poker 2,646,723 = little Schroeder number2,674,440 = Catalan number2,692,537 = Leonardo prime2,704,900 = initial number of fourth century xx00 to xx99 containing seventeen prime numbers 2,744,210 = Pell number2,796,203 = Wagstaff prime, Jacobsthal prime2,825,761 = 16812 = 4142,890,625 = 1-automorphic number2,922,509 = Markov prime2,985,984 = 17282 = 1443 = 126 = 1,000,00012 AKA a great-great-gross

3,000,000 to 3,999,999

3,111,696 = 17642 = 4243,200,000 = 2053,263,443 = sixth term of Sylvester's sequence3,276,509 = Markov prime3,294,172 = 22×773,301,819 = alternating factorial3,333,333 = repdigit3,360,633 = palindromic in 3 consecutive bases: 62818269 = 336063310 = 1995991113,418,801 = 18492 = 4343,426,576 = number of free 15-ominoes3,524,578 = Fibonacci number, Markov number3,554,688 = 2-automorphic number3,626,149 = Wedderburn–Etherington prime3,628,800 = 10!3,748,096 = 19362 = 4443,880,899/2,744,210 ≈ √2

4,000,000 to 4,999,999

4,008,004 = 20022, palindromic square4,037,913 = sum of the first ten factorials4,084,101 = 2154,100,625 = 20252 = 4544,194,304 = 20482 = 411 = 2224,194,788 = Leyland number4,202,496 = number of primitive polynomials of degree 27 over GF4,208,945 = Leyland number4,210,818 = equal to the sum of the seventh powers of its digits4,213,597 = Bell number4,260,282 = Fine number4,297,512 = 12-th derivative of xx at x=14,324,320 = 12th colossally abundant number, 12th superior highly composite number, pronic number4,400,489 = Markov number4,444,444 = repdigit4,477,456 = 21162 = 4644,636,390 = Number of 29-bead necklaces where complements are equivalent4,741,632 = number of primitive polynomials of degree 28 over GF4,782,969 = 21872 = 97 = 3144,782,974 = n such that n | 4,785,713 = Leyland number4,794,088 = number of 28-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed4,805,595 = Riordan number4,826,809 = 21972 = 1693 = 1364,879,681 = 22092 = 4744,913,000 = 17034,937,284 = 22222

5,000,000 to 5,999,999

5,049,816 = number of reduced trees with 31 nodes5,096,876 = number of prime numbers having eight digits5,134,240 = the largest number that cannot be expressed as the sum of distinct fourth powers5,153,632 = 2255,195,977 = smallest number n such that the sum of reciprocals of primes up to n exceeds 35,221,225 = 22852, palindromic square5,293,446 = Large Schröder number5,308,416 = 23042 = 4845,496,925 = first cyclic number in base 65,555,555 = repdigit5,623,756 = number of trees with 22 unlabeled nodes5,702,887 = Fibonacci number5,761,455 = the number of primes under 100,000,0005,764,801 = 24012 = 494 = 785,882,353 = 5882 + 23532

6,000,000 to 6,999,999

6,250,000 = 25002 = 5046,436,343 = 2356,536,382 = Motzkin number6,625,109 = Pell number, Markov number6,666,666 = repdigit6,765,201 = 26012 = 5146,948,496 = 26362, palindromic square

7,000,000 to 7,999,999

7,109,376 = 1-automorphic number7,311,616 = 27042 = 5247,453,378 = Markov number7,529,536 = 27442 = 1963 = 1467,652,413 = Largest n-digit pandigital prime7,777,777 = repdigit7,779,311 = A hit song written by Prince and released in 1982 by The Time7,861,953 = Leyland number7,890,481 = 28092 = 5347,906,276 = pentagonal triangular number7,913,837 = Keith number7,962,624 = 245

8,000,000 to 8,999,999

8,000,000 = 2003, Used to represent infinity in Japanese mythology8,053,393 = number of prime knots with 17 crossings8,108,731 = repunit prime in base 148,388,607 = second composite Mersenne number with a prime exponent8,388,608 = 2238,389,137 = Leyland number8,399,329 = Markov number8,436,379 = Wedderburn-Etherington number8,503,056 = 29162 = 5448,675,309 = A hit song for Tommy Tutone 8,675,311 = Twin prime with 8,675,3098,877,691 = number of nonnegative integers with distinct decimal digits8,888,888 = repdigit8,946,176 = self-descriptive number in base 88,964,800 = Number of 30-bead necklaces where complements are equivalent

9,000,000 to 9,999,999

9,000,000 = 300029,069,229 = 13 × 293 × 2,381, Strong pseudoprime to base two, first strong pseudoprime to have a multiplicative order above 100,000 9,150,625 = 30252 = 5549,227,465 = Fibonacci number, Markov number9,256,396 = number of 29-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed9,261,000 = 21039,369,319 = Newman–Shanks–Williams prime9,647,009 = Markov number9,653,449 = square Stella octangula number9,581,014 = n such that n | 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 is identical to 9,694,845 = Catalan number9,699,690 = eighth primorial9,765,625 = 31252 = 255 = 5109,800,817 = equal to the sum of the seventh powers of its digits9,834,496 = 31362 = 5649,865,625 = Leyland number9,926,315 = equal to the sum of the seventh powers of its digits9,938,375 = 2153, the largest 7-digit cube9,997,156 = largest triangular number with 7 digits and the 4,471st triangular number9,998,244 = 31622, the largest 7-digit square9,999,991 = Largest 7-digit prime number9,999,999 = 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.