From Wikipedia, the free encyclopedia
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".
In scientific notation, it is written
as 1×10^{
6} or just 10^{6}.^{[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 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 "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.
Visualizing one million
Although 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 on 136 pages of an
Encyclopædia Britannica, or 600 pages of pulp paperback fiction
contains approximately one million characters.
- Length: There are one million millimeters in a kilometer, and
roughly a million sixteenths of an inch in a mile. 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 cm^{2})
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 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. One million cubic inches would be the volume of a small
room only 8.5 foot by 8.5 foot by 8 foot high.
- Weight: A million 80 milligram honeybees would weigh the same
as an 80 kg person.
- Landscape: A pyramidal shaped hill 600 feet wide at the base
and 100 feet high would weigh about a million tons.
See also
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 = 2^{20} (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 = 3^{13}
- 1,596,520 - Leyland number
- 1,647,086 - Leyland number
- 1,679,616 = 6^{8}
- 1,686,049 - Markov number
- 1,741,725 - equal to the sum of the seventh
power of its digits
- 1,771,561 = 11^{6} = 121^{3} =
1331^{2}, 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 = 5^{9}
- 2,012,174 - Leyland number
- 2,012,674 - Markov number
- 2,097,152 = 2^{21}, 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 = 2^{22}, 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 = 3^{14}
- 4,785,713 - Leyland number
- 4,826,809 = 13^{6}
- 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 = 7^{8}
- 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 = 2^{23}, 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 = 5^{10}
- 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
- ^
Wells, D. The Penguin Dictionary of Curious and Interesting
Numbers London: Penguin Group. (1987): 185. "1,000,000 =
10^{6}"