One million (1,000,000) or one thousand thousand 1000 is the natural number following 999 and preceding 1001, is the natural number In mathematics, there are two conventions for the set of natural numbers: it is either the set of positive integers {1, 2, 3, ...} according to the traditional definition or the set of non-negative integers {0, 1, 2, ...} according to a formal definition laid in 19th century 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 Scientific notation, also known as standard form or as exponential notation, is a way of writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation. Scientific notation has a number of useful properties and is often favored by scientists, mathematicians and engineers, who work with such, it is written as 1×10⁶ or just 10⁶.^[1] Physical quantities Informally, a physical quantity is a physical property that can be quantified. This means it can be measured and/or calculated and expressed in numbers. For example, "weight" is a physical quantity that can be expressed by stating a number of some basic measurement unit such as pounds or newton, while "beauty" is a property can also be expressed using the SI prefix An SI prefix is a name or associated symbol that precedes a basic unit of measure (or its symbol) to form a decimal multiple or submultiple. The abbreviation SI is from the French language name Système International d’Unités (also known as International System of Units). SI prefixes are used to reduce the number of zeros shown in numerical mega, when dealing with SI The International System of Units is the modern form of the metric system and is generally a system devised around the convenience of the number ten. It is the world's most widely used system of measurement, both in everyday commerce and in science units. For example, 1 megawatt The watt is a derived unit of power in the International System of Units (SI). It measures rate of energy conversion. One watt is equivalent to 1 joule (J) of energy per second equals 1,000,000 watts The watt is a derived unit of power in the International System of Units (SI). It measures rate of energy conversion. One watt is equivalent to 1 joule (J) of energy per second.

The word "million" is common to the short scale Note that the difference between the two scales grows as numbers get larger. Million is the same in both scales, but the long-scale billion is a thousand times larger than the short-scale billion (1,000,000,000), the long-scale trillion is a million times larger than the short-scale trillion, and so on and long scale Note that the difference between the two scales grows as numbers get larger. Million is the same in both scales, but the long-scale billion is a thousand times larger than the short-scale billion (1,000,000,000), the long-scale trillion is a million times larger than the short-scale trillion, and so on numbering systems, unlike the larger numbers, which have different names in the two systems.

The million is sometimes used in the English language English is a West Germanic language that originated in Anglo-Saxon England. As a result of the military, economic, scientific, political, and cultural influence of the British Empire during the 18th, 19th, and early 20th centuries and of the United States since the mid 20th century, it has become the lingua franca in many parts of the world. It is as a metaphor Metaphor , is a figure of speech and or phrase that one word as being or equal to a second object in some way. This device is known for usage in literature, especially in poetry, where with few words, emotions and associations from one context are associated with objects and entities in a different context. It compares two subjects without using ' for a very large number, as in "Never in a million years" and "You're one in a million", or a hyperbole Hyperbole comes from ancient Greek "ὑπερβολή" (meaning excess or exaggeration) and is a figure of speech in which statements are exaggerated. It may be used to evoke strong feelings or to create a strong impression, but is rarely meant to be taken literally, as in "I've walked a million miles".

Il Milione The Travels of Marco Polo is the usual English title of Marco Polo's travel book, nicknamed Il Milione or Le Livre des Merveilles (The Book of Wonders). This description of his travels and stays in the Orient, including Asia, Persia, China and Indonesia, between 1271 and 1298 is also known as Oriente Poliano or Description of the World. It was a is the title of Marco Polo Marco Polo (English pronunciation: /mɑrkoʊ poʊloʊ/ ) (c. 1254 – January 8, 1324) was a trader and explorer from the Venetian Republic who gained fame for his worldwide travels as recorded in the book Il Milione ("The Million" or The Travels of Marco Polo). Marco, his father Niccolò, and his uncle Maffeo, were some of the first's narration of his travel to China China has one of the world's oldest and continuous civilizations, consisting of states and cultures dating back more than six millennia.[citation needed] It has the world's longest continuously used written language system,[citation needed] and is viewed as the source of many major inventions. Historically, China's cultural sphere has extended. 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) This list compares various sizes of positive numbers, including counts of things, dimensionless quantity and probabilities. Each number is given a name in the so called short scale which is used in English speaking countries, as well as a name in the long scale which is used in a series of countries that do not have English as their national to help compare dimensionless numbers In dimensional analysis, a dimensionless quantity is a quantity without any physical units and thus a pure number. Such a number is typically defined as a product or ratio of quantities which do have units, in such a way that all the units cancel out between 1,000,000 and 10,000,000 (10⁶ and 10⁷).
• Names of large numbers The following table lists those names of large numbers which are found in many English dictionaries and thus have a special claim to being "real words". The "Traditional British" values shown are unused in American English and are obsolete[citation needed] in British English, but are dominant in many non-English-speaking areas,

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

• 1,000,003 - Smallest 7 digit prime number
• 1,046,527 - Carol number A Carol number is an integer of the form 4n − 2n + 1 − 1. An equivalent formula is 2 − 2. The first few Carol numbers are: −1, 7, 47, 223, 959, 3967, 16127, 65023, 261119, 1046527 (sequence A093112 in OEIS)
• 1,048,576 = 2²⁰ (power of two In mathematics, a power of two is any of the integer powers of the number two; in other words, two multiplied by itself a certain number of times. Note that one is a power of two. Written in binary, a power of two always has the form 100...0, just like a power of ten in the decimal system), 2,116-gonal number In mathematics, a polygonal number is a number represented as dots or pebbles arrayed in the shape of a polygon. The dots were thought of as alphas . These are one type of figurate numbers, an 8,740-gonal number and a 174,764-gonal number, the number of bytes A byte is a basic unit of measurement of information storage in computer science. In many computer architectures it is a unit of memory addressing. There is no standard but a byte most often consists of eight bits in a mebibyte The Mebibyte is a standards-based binary multiple (prefix mebi, symbol Mi) of the byte, a unit of digital information storage. Mebibyte is abbreviated MiB, the number of kibibytes A kibibyte is a unit of information or computer storage, established by the International Electrotechnical Commission in 2000. Its symbol is KiB. It was designed to replace the "kilobyte" in computer science, when used to mean 1024 bytes, which conflicts with the SI definition of the prefix "kilo" in a gibibyte Gibibyte is a unit of digital information storage, abbreviated GiB, and so on. Also the most rows that Microsoft Excel Microsoft Excel is a spreadsheet-application written and distributed by Microsoft for Microsoft Windows and Mac OS X. It features calculation, graphing tools, pivot tables and a macro programming language called VBA (Visual Basic for Applications). It has been the most widely used spreadsheet application available for these platforms since version (Microsoft Office 2007) can accept in a single worksheet.
• 1,048,976 - Leyland number
• 1,050,623 - Kynea number 7, 23, 79, 287, 1087, 4223, 16639, 66047, 263167, 1050623, 4198399, 16785407
• 1,058,576 - Leyland number
• 1,084,051 - Keith number
• 1,089,270 - harmonic divisor number
• 1,136,689 - Pell number In mathematics, the Pell numbers are an infinite sequence of integers that have been known since ancient times, the denominators of the closest rational approximations to the square root of 2. This sequence of approximations begins 1/1, 3/2, 7/5, 17/12, and 41/29, so the sequence of Pell numbers begins with 1, 2, 5, 12, and 29. The numerators of, 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 The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci Fibonacci's 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been previously described in Indian mathematics, Markov number
• 1,421,280 - harmonic divisor number
• 1,441,440 - colossally abundant number In mathematics, a colossally abundant number is a certain kind of natural number. Formally, a number n is colossally abundant if and only if there is an ε > 0 such that for all k > 1,
• 1,441,889 - Markov number
• 1,539,720 - harmonic divisor number
• 1,563,372 - Wedderburn-Etherington number In graph theory, the Wedderburn-Etherington numbers count how many weakly binary trees can be constructed: that is, the number of trees for which each graph vertex is adjacent to no more than three other such vertices, for a given number of nodes. The first few Wedderburn-Etherington numbers are
• 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 Star Trek is a science fiction television series created by Gene Roddenberry that aired from September 8, 1966 to September 2, 1969. Though the original series was titled simply Star Trek, it has acquired the retronym Star Trek: The Original Series to distinguish it from the spinoffs that followed, and from the Star Trek universe or franchise they 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 In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named for the Belgian mathematician Eugène Charles Catalan
• 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 In mathematics, an alternating factorial is the absolute value of the alternating sum of the first n factorials
• 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 In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example,
• 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 In combinatorial mathematics, the nth Bell number, named in honor of Eric Temple Bell, is the number of partitions of a set with n members, or equivalently, the number of equivalence relations on it. Starting with B0 = B1 = 1, the first few Bell numbers are:
• 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 A twin prime is a prime number that differs from another prime number by two. Except for the pair , this is the smallest possible difference between two primes. Some examples of twin prime pairs are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), and (821, 823). Sometimes the term twin prime is used for a pair of twin primes; an)
• 8,675,311 - A twin prime
• 8,946,176 - self-descriptive number A self-descriptive number is an integer m that in a given base b is b-digits long in which each digit d at position n counts how many instances of digit n are in m 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"

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