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.[1]
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".
Visualisation of powers of ten from 1 to 1 million
Visualizing one million
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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 cartire might rotate a million times in a 1,900-kilometre (1,200 mi) trip, while the engine would do several times that number of revolutions.
Fingers: If the width of a human finger is 22 mm (7⁄8 in), then a million fingers lined up would cover a distance of 22 km (14 mi). If a person walks at a speed of 4 km/h (2.5 mph), 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 64 mL (2.3 imp fl oz; 2.2 US fl oz), the volume of a cube one hundred grains on a side. One million cubic inches would be the volume of a small room 8+1⁄3 feet long by 8+1⁄3 feet wide by 8+1⁄3 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 80-milligram (1.2 gr) honey bees would weigh the same as an 80 kg (180 lb) person.
Landscape: A pyramidal hill 600 feet (180 m) wide at the base and 100 feet (30 m) high would weigh about a million short tons.
Money: A U.S. dollar bill of any denomination weighs 1 gram (0.035 oz). There are 454 grams in a pound. One million dollar bills would weigh 1 megagram (1,000 kg; 2,200 lb) or 1 tonne (just over 1 short ton).
Time: A million seconds, 1 megasecond, is 11.57 days.
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})[10]
1,024,000 = Sometimes, the number of bytes in a megabyte[11]
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}[63][64]
^There are no centuries containing more than seventeen primes between 200 and 122,853,771,370,899 inclusive,[49] and none containing more than fifteen between 2,705,000 and 839,296,299 inclusive.[50]
References
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^"million". Dictionary.com Unabridged. Random House, Inc. Retrieved 4 October 2010.
^"m". Oxford Dictionaries. Oxford University Press. Archived from the original on July 6, 2012. Retrieved 2015-06-30.
^"figures". The Economist Style Guide (11th ed.). The Economist. 2015. ISBN 9781782830917.
^"6.7 Abbreviating 'million' and 'billion'". English Style Guide. A handbook for authors and translators in the European Commission(PDF) (2019 ed.). 26 February 2019. p. 37.
^"m". Merriam-Webster. Merriam-Webster Inc. Retrieved 2015-06-30.
^"Definition of 'M'". Collins English Dictionary. HarperCollins Publishers. Retrieved 2015-06-30.
^Averkamp, Harold. "Q&A: What Does M and MM Stand For?". AccountingCoach.com. AccountingCoach, LLC. Retrieved 25 June 2015.
^"FT makes change to style guide to benefit text-to-speech software". Financial Times. The Financial Times Ltd. 4 February 2022. Retrieved 2024-03-13. The abbreviation of millions is now 'mn' instead of 'm'. One of the main reasons is to benefit text-to-speech software, which reads out the 'm' as metres instead of millions, confusing visually impaired readers. It also comes into line with our style for billion (bn) and trillion (tn).
^ abSloane, N. J. A. (ed.). "Sequence A000957 (Fine's sequence (or Fine numbers): number of relations of valence > 0 on an n-set; also number of ordered rooted trees with n edges having root of even degree)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^ abcdSloane, N. J. A. (ed.). "Sequence A000013 (Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.). "Sequence A164987 (First pair of primes (p1, p2) that begin centuries of primes having the same prime configuration, ordered by increasing p2. Each configuration is allowed only once.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.). "Sequence A258275 (Smallest number k > n such that the interval k*100 to k*100+99 has exactly the same prime pattern as the interval n*100 to n*100+99)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Caldwell, Chris K. "The Nth Prime Page". PrimePages. Retrieved 2022-12-03. 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).