1,000,000

Last updated

999999 10000001000001
Cardinal one million
Ordinal 1000000th
(one millionth)
Factorization 26 × 56
Greek numeral
Roman numeral M
Binary 111101000010010000002
Ternary 12122102020013
Senary 332333446
Octal 36411008
Duodecimal 40285412
Hexadecimal F424016
Egyptian hieroglyph 𓁨

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]

Contents

It is commonly abbreviated:

In scientific notation, it is written as 1×106 or 106. [9] 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 also the cube of 100.

Visualisation of powers of ten from 1 to 1 million Visualisation 1 million.svg
Visualisation of powers of ten from 1 to 1 million

Visualizing one 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.

In Indian English and Pakistani English, it is also expressed as 10 lakh. Lakh is derived from lakṣa for 100,000 in Sanskrit.

One million black dots (pixels) - each tile with white or grey background contains 1000 dots (full image) One million dots 1080p.png
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

2,000,000 to 2,999,999

3,000,000 to 3,999,999

4,000,000 to 4,999,999

5,000,000 to 5,999,999

6,000,000 to 6,999,999

7,000,000 to 7,999,999

8,000,000 to 8,999,999

9,000,000 to 9,999,999

Prime numbers

There are 78,498 primes less than 106, where 999,983 is the largest prime number smaller than 1,000,000.

Increments of 106 from 1 million through a 10 million have the following prime counts:

In total, there are 586,081 prime numbers between 1,000,000 and 10,000,000. [64]

See also

Notes

  1. There are no centuries containing more than seventeen primes between 200 and 122,853,771,370,899 inclusive, [48] and none containing more than fifteen between 2,705,000 and 839,296,299 inclusive. [49]

Related Research Articles

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

300 is the natural number following 299 and preceding 301.

500 is the natural number following 499 and preceding 501.

600 is the natural number following 599 and preceding 601.

900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10, it is a Harshad number. It is also the first number to be the square of a sphenic number.

It is:

10,000 is the natural number following 9,999 and preceding 10,001.

3000 is the natural number following 2999 and preceding 3001. It is the smallest number requiring thirteen letters in English.

7000 is the natural number following 6999 and preceding 7001.

<span class="mw-page-title-main">1,000,000,000</span> Natural number

1,000,000,000 is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.

100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.

10,000,000 is the natural number following 9,999,999 and preceding 10,000,001.

100,000,000 is the natural number following 99,999,999 and preceding 100,000,001.

20,000 is the natural number that comes after 19,999 and before 20,001.

30,000 is the natural number that comes after 29,999 and before 30,001.

40,000 is the natural number that comes after 39,999 and before 40,001. It is the square of 200.

50,000 is the natural number that comes after 49,999 and before 50,001.

60,000 is the natural number that comes after 59,999 and before 60,001. It is a round number. It is the value of (75025).

70,000 is the natural number that comes after 69,999 and before 70,001. It is a round number.

90,000 is the natural number following 89,999 and preceding 90,001. It is the sum of the cubes of the first 24 positive integers, and is the square of 300.

References

  1. "million". Dictionary.com Unabridged. Random House, Inc. Retrieved 4 October 2010.
  2. "m". Oxford Dictionaries. Oxford University Press. Archived from the original on July 6, 2012. Retrieved 2015-06-30.
  3. "figures". The Economist Style Guide (11th ed.). The Economist. 2015. ISBN   9781782830917.
  4. "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.
  5. "m". Merriam-Webster. Merriam-Webster Inc. Retrieved 2015-06-30.
  6. "Definition of 'M'". Collins English Dictionary. HarperCollins Publishers. Retrieved 2015-06-30.
  7. Averkamp, Harold. "Q&A: What Does M and MM Stand For?". AccountingCoach.com. AccountingCoach, LLC. Retrieved 25 June 2015.
  8. "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).
  9. David Wells (1987). The Penguin Dictionary of Curious and Interesting Numbers . London: Penguin Group. p. 185. 1,000,000 = 106
  10. Sloane, N. J. A. (ed.). "SequenceA059925(Initial members of two prime quadruples (A007530) with the smallest possible difference of 30)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  11. Tracing the History of the Computer - History of the Floppy Disk
  12. 1 2 Sloane, N. J. A. (ed.). "SequenceA007629(Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  13. 1 2 3 Sloane, N. J. A. (ed.). "SequenceA001599(Harmonic or Ore numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  14. Sloane, N. J. A. (ed.). "SequenceA002104(Logarithmic numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  15. Sloane, N. J. A. (ed.). "SequenceA006315(Numbers n such that n^32 + 1 is prime)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  16. 1 2 3 Sloane, N. J. A. (ed.). "SequenceA000129(Pell numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  17. 1 2 3 4 5 6 7 8 9 10 11 12 13 Sloane, N. J. A. (ed.). "SequenceA002559(Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x^2 + y^2 + z^2 = 3*x*y*z)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  18. 1 2 Sloane, N. J. A. (ed.). "SequenceA000957(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.
  19. Sloane, N. J. A. (ed.). "SequenceA031971(Sum_{1..n} k^n)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  20. Collins, Julia (2019). Numbers in Minutes. United Kingdom: Quercus. p. 140. ISBN   978-1635061772.
  21. Sloane, N. J. A. (ed.). "SequenceA143641(Odd prime-proof numbers not ending in 5)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  22. 1 2 3 4 Sloane, N. J. A. (ed.). "SequenceA000011(Number of n-bead necklaces (turning over is allowed) where complements are equivalent)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  23. 1 2 3 Sloane, N. J. A. (ed.). "SequenceA000014(Number of series-reduced trees with n nodes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  24. Sloane, N. J. A. (ed.). "SequenceA006785(Number of triangle-free graphs on n vertices)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  25. 1 2 3 4 Sloane, N. J. A. (ed.). "SequenceA000013(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.
  26. 1 2 3 4 Sloane, N. J. A. (ed.). "SequenceA011260(Number of primitive polynomials of degree n over GF(2))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  27. 1 2 3 4 5 Sloane, N. J. A. (ed.). "SequenceA000045(Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  28. Sloane, N. J. A. (ed.). "SequenceA001110(Square triangular numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  29. 1 2 Sloane, N. J. A. (ed.). "SequenceA004490(Colossally abundant numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  30. 1 2 Sloane, N. J. A. (ed.). "SequenceA002201(Superior highly composite numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  31. 1 2 3 Sloane, N. J. A. (ed.). "SequenceA001190(Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  32. Sloane, N. J. A. (ed.). "SequenceA000258(Expansion of e.g.f. exp(exp(exp(x)-1)-1))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  33. Sloane, N. J. A. (ed.). "SequenceA181098(Primefree centuries)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  34. Sloane, N. J. A. (ed.). "SequenceA122400(Number of square (0,1)-matrices without zero rows and with exactly n entries equal to 1)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  35. Sloane, N. J. A. (ed.). "SequenceA111441(Numbers k such that the sum of the squares of the first k primes is divisible by k)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  36. Sloane, N. J. A. (ed.). "SequenceA000540(Sum of 6th powers: 0^6 + 1^6 + 2^6 + ... + n^6.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  37. Sloane, N. J. A. (ed.). "SequenceA005893(Number of points on surface of tetrahedron)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  38. Sloane, N. J. A. (ed.). "SequenceA094133(Leyland prime numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  39. Sloane, N. J. A. (ed.). "SequenceA088164(Wolstenholme primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  40. 1 2 Sloane, N. J. A. (ed.). "SequenceA000055(Number of trees with n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  41. Sloane, N. J. A. (ed.). "SequenceA049363(a(1) = 1; for n > 1, smallest digitally balanced number in base n)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  42. Sloane, N. J. A. (ed.). "SequenceA000060(Number of signed trees with n nodes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  43. Sloane, N. J. A. (ed.). "SequenceA065577(Number of Goldbach partitions of 10^n)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  44. 1 2 Sloane, N. J. A. (ed.). "SequenceA001006(Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  45. Sloane, N. J. A. (ed.). "SequenceA000112(Number of partially ordered sets (posets) with n unlabeled elements)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  46. 1 2 Sloane, N. J. A. (ed.). "SequenceA000108(Catalan numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  47. Sloane, N. J. A. (ed.). "SequenceA186509(Centuries containing 17 primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  48. Sloane, N. J. A. (ed.). "SequenceA186311(Least century 100k to 100k+99 with exactly n primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  49. Sloane, N. J. A. (ed.). "SequenceA186408(Centuries containing 16 primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  50. Sloane, N. J. A. (ed.). "SequenceA000979(Wagstaff primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  51. 1 2 Sloane, N. J. A. (ed.). "SequenceA003226(Automorphic numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  52. Sloane, N. J. A. (ed.). "SequenceA000058(Sylvester's sequence)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  53. Sloane, N. J. A. (ed.). "SequenceA048102(Numbers k such that if k equals Product p_i^e_i then p_i equals e_i for all i)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  54. Sloane, N. J. A. (ed.). "SequenceA005165(Alternating factorials)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  55. Sloane, N. J. A. (ed.). "SequenceA030984(2-automorphic numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  56. Sloane, N. J. A. (ed.). "SequenceA000110(Bell or exponential numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  57. Sloane, N. J. A. (ed.). "SequenceA005727(n-th derivative of x^x at 1. Also called Lehmer-Comtet numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  58. 1 2 Sloane, N. J. A. (ed.). "SequenceA277288(Positive integers n such that n divides (3^n + 5))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  59. Sloane, N. J. A. (ed.). "SequenceA006879(Number of primes with n digits.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  60. Sloane, N. J. A. (ed.). "SequenceA344389(a(n) is the number of nonnegative numbers < 10^n with all digits distinct.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  61. Sloane, N. J. A. (ed.). "SequenceA088165(NSW primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  62. Sloane, N. J. A. (ed.). "SequenceA164987(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.
  63. Sloane, N. J. A. (ed.). "SequenceA258275(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.
  64. 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).