million

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One million (1,000,000) or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The name is derived from Italian, where mille was 1,000, and 1,000,000 became milione, "a large thousand"^{[citation needed]}.

In scientific notation, it is written as 1×10⁶ or just 10⁶.^[1] 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 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 "Never in a million years" and "You're one in a million", or a hyperbole, as in "I've walked a million miles".

Il Milione is the title of Marco Polo's narration of his travel to China. The name is supposed to come from Polo's nickname after his tales of riches and multitudes^{[citation needed]}.

Visualizing one million

Although it is often stressed that counting to precisely a million would be an exceedingly tedius 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 on 136 pages of an Encyclopedia Britannica, or 600 pages of pulp paperback fiction contains approximately one million characters.
• Length: A typical car tire might rotate a million times in a 1,200 mile trip, while the engine would do several times that number of revolutions.
• 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.
• Volume: The cube root of one million is only one hundred, so a million objects or cubic units is contained in a cube only a hundred objects or linear units on a side. A million grains of table salt or granulated sugar occupies only about 64 ml, slightly over a quarter of a cup, the volume of a cube one hundred grains on a side.
• Landscape: A pyramidal shaped hill 600 feet wide at the base and 100 feet high would weigh about a million tons.

See also

• Orders of magnitude (numbers) to help compare dimensionless numbers between 1,000,000 and 10,000,000 (10⁶ and 10⁷).
• Names of large numbers

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

• 1,000,003 - Smallest 7 digit prime number
• 1,046,527 - Carol number
• 1,048,576 = 2²⁰ (power of two), 2,116-gonal number, an 8,740-gonal number and a 174,764-gonal number, the number of bytes in a mebibyte, the number of kibibytes in a gibibyte, and so on. Also the most rows that Microsoft Excel (Microsoft Office 2007) can accept in a single worksheet.
• 1,048,976 - Leyland number
• 1,050,623 - Kynea number
• 1,058,576 - Leyland number
• 1,084,051 - Keith number
• 1,089,270 - harmonic divisor number
• 1,136,689 - Pell number, Markov number
• 1,234,567 - Smarandache consecutive number (base 10 digits are in numerical order)
• 1,278,818 - Markov number
• 1,346,269 - Fibonacci number, Markov number
• 1,421,280 - harmonic divisor number
• 1,441,440 - colossally abundant number
• 1,441,889 - Markov number
• 1,539,720 - harmonic divisor number
• 1,563,372 - Wedderburn-Etherington number
• 1,594,323 = 3¹³
• 1,596,520 - Leyland number
• 1,647,086 - Leyland number
• 1,679,616 = 6⁸
• 1,686,049 - Markov number
• 1,741,725 - equal to the sum of the seventh power of its digits
• 1,771,561 = 11⁶ = 121³ = 1331², also, Commander Spock's estimate for the tribble population in the Star Trek episode "The Trouble With Tribbles"
• 1,941,760 - Leyland number
• 1,953,125 = 5⁹
• 2,012,174 - Leyland number
• 2,012,674 - Markov number
• 2,097,152 = 2²¹, power of two
• 2,097,593 - prime Leyland number
• 2,124,679 - Wolstenholme prime
• 2,178,309 - Fibonacci number
• 2,356,779 - Motzkin number
• 2,423,525 - Markov number
• 2,674,440 - Catalan number
• 2,744,210 - Pell number
• 2,796,203 - Wagstaff prime
• 2,922,509 - Markov number
• 3,263,442 - product of the first five terms of Sylvester's sequence
• 3,263,443 - sixth term of Sylvester's sequence
• 3,276,509 - Markov number
• 3,301,819 - alternating factorial
• 3,524,578 - Fibonacci number, Markov number
• 3,626,149 - Wedderburn-Etherington number
• 3,628,800 = 10!
• 4,037,913 - sum of the first ten factorials
• 4,190,207 - Carol number
• 4,194,304 = 2²², power of two
• 4,194,788 - Leyland number
• 4,198,399 - Kynea number
• 4,208,945 - Leyland number
• 4,210,818 - equal to the sum of the seventh powers of its digits
• 4,213,597 - Bell number
• 4,400,489 - Markov number
• 4,782,969 = 3¹⁴
• 4,785,713 - Leyland number
• 4,826,809 = 13⁶
• 5,134,240 - the largest number that cannot be expressed as the sum of distinct fourth powers
• 5,702,887 - Fibonacci number
• 5,764,801 = 7⁸
• 6,536,382 - Motzkin number
• 6,625,109 - Pell number, Markov number
• 7,453,378 - Markov number
• 7,861,953 - Leyland number
• 7,913,837 - Keith number
• 8,000,000 - Used to represent infinity in Japanese mythology
• 8,388,608 = 2²³, power of two
• 8,389,137 - Leyland number
• 8,399,329 - Markov number
• 8,436,379 - Wedderburn-Etherington number
• 8,675,309 - A hit song for Tommy Tutone (also a twin prime)
• 8,675,311 - A twin prime
• 8,946,176 - self-descriptive number in base 8
• 9,227,465 - Fibonacci number, Markov number
• 9,369,319 - Newman-Shanks-Williams prime
• 9,647,009 - Markov number
• 9,694,845 - Catalan number
• 9,765,625 = 5¹⁰
• 9,800,817 - equal to the sum of the seventh powers of its digits
• 9,865,625 - Leyland number
• 9,926,315 - equal to the sum of the seventh powers of its digits
• 9,999,991 - Largest 7 digit prime number

References

1. ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 185. "1,000,000 = 10⁶"