1,000,000

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.

It is commonly abbreviated:

• in British English as m (not to be confused with the metric prefix "m" milli, for , or with metre),
• M,
• MM ("thousand thousands", from Latin "Mille"; not to be confused with the Roman numeral = 2,000),
• mm (not to be confused with millimetre), 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 (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.

Visualising one million

thumb|240px|Visualisation of powers of ten from 1 to 1 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 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 (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 , 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 (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 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 (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 for 100,000 in Sanskrit.

[[File:One_million_dots_1080p.png|thumb|240px|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})
• 1,024,000 = Sometimes, the number of bytes in a megabyte
• 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
• 1,084,051 = fifth Keith prime
• 1,089,270 = harmonic divisor number
• 1,111,111 = repunit
• 1,112,083 = logarithmic number
• 1,129,308³² + 1 is prime
• 1,136,689 = Pell number, Markov number
• 1,174,281 = Fine number
• 1,185,921 = 1089² = 33⁴
• 1,200,304 = 1⁷ + 2⁷ + 3⁷ + 4⁷ + 5⁷ + 6⁷ + 7⁷
• 1,203,623 = smallest unprimeable number ending in 3
• 1,234,321 = 1111², palindromic square
• 1,246,863 = Number of 27-bead necklaces (turning over is allowed) where complements are equivalent
• 1,256,070 = number of reduced trees with 29 nodes
• 1,262,180 = number of triangle-free graphs on 12 vertices
• 1,278,818 = Markov number
• 1,296,000 = number of primitive polynomials of degree 25 over GF(2)
• 1,299,709 = 100,000th prime number
• 1,336,336 = 1156² = 34⁴
• 1,346,269 = Fibonacci number, Markov number
• 1,419,857 = 17⁵
• 1,421,280 = harmonic divisor number 11th superior highly composite number, 40th highly composite number
• 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.
• 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
• 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
• 1,719,900 = number of primitive polynomials of degree 26 over GF(2)
• 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

2,000,000 to 2,999,999

• 2,000,002 = number of surface-points of a tetrahedron with edge-length 1000
• 2,000,376 = 126³
• 2,012,174 = Leyland number
• 2,012,674 = Markov number 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
• 2,144,505 = number of trees with 21 unlabelled nodes
• 2,162,160 = 41st highly composite number,
• 2,178,309 = Fibonacci number
• 2,274,205 = number of different ways of expressing 1,000,000,000 as the sum of two prime numbers
• 2,313,441 = 1521² = 39⁴
• 2,356,779 = Motzkin number
• 2,405,236 = Number of 28-bead necklaces (turning over is allowed) where complements are equivalent
• 2,598,560 = chances of getting a royal flush in a hand of poker (52!/5!47!) (n choose r)
• 2,646,723 = little Schröder number
• 2,674,440 = Catalan number
• 2,692,537 = Leonardo prime
• 2,704,900 = initial number of fourth century xx00 to xx99 containing seventeen prime numbers {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 Jacobsthal prime
• 2,825,761 = 1681² = 41⁴
• 2,890,625 = 1-automorphic number
• 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
• 3,263,443 = sixth term of Sylvester's sequence
• 3,276,509 = Markov prime
• 3,294,172 = 2²×7⁷
• 3,301,819 = alternating factorial
• 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,
• 3,626,149 = Wedderburn–Etherington prime
• 4,260,282 = Fine number
• 4,324,320 = 12th colossally abundant number,
• 4,785,713 = Leyland number
• 4,794,088 = number of 28-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed
• 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
• 5,134,240 = the largest number that cannot be expressed as the sum of distinct fourth powers
• 5,153,632 = 22⁵
• 5,195,977 = smallest number n such that the sum of reciprocals of primes up to n exceeds 3
• 5,221,225 = 2285², palindromic square
• 5,293,446 = Large Schröder number
• 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
• 9,647,009 = Markov number
• 9,694,845 = Catalan number

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)

Notes

References