900 (number)

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← 899 900 901 →
Cardinal nine hundred
Ordinal 900th
(nine hundredth)
Factorization 22× 32× 52
Divisors 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greek numeral Ϡ´
Roman numeral CM
Unicode symbol(s) CM, cm
Binary 11100001002
Ternary 10201003
Quaternary 320104
Quinary 121005
Senary 41006
Octal 16048
Duodecimal 63012
Hexadecimal 38416
Vigesimal 25020
Base 36 P036

900 (nine hundred) 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 integers; in base 10 it is a Harshad number.

In other fields[edit]

900 is also:

Integers from 901 to 999[edit]

900s[edit]

910s[edit]

  • 910 = 2 × 5 × 7 × 13, Mertens function(910) returns 0, Harshad number, happy number
  • 911 = prime number, has its own page
  • 912 = 24 × 3 × 19, sum of four consecutive primes (223 + 227 + 229 + 233), sum of ten consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109), Harshad number.
  • In the Stonecutters episode of The Simpsons, Lenny told Homer the real emergency number is 912.
  • 913 = 11 × 83, Smith number,[2] Mertens function(913) returns 0.
  • After escaping the Jedi purge, Obi-Wan Kenobi transmitted a 913 emergency transmission.
  • 914 = 2 × 457, nontotient
  • 915 = 3 × 5 × 61, sphenic number, Smith number,[2] Mertens function(915) returns 0, Harshad number
  • 916 = 22 × 229, Mertens function(916) returns 0, nontotient, member of the Mian–Chowla sequence[3]
  • 917 = 7 × 131, sum of five consecutive primes (173 + 179 + 181 + 191 + 193)
  • 918 = 2 × 33 × 17, Harshad number
  • 919 = prime number, cuban prime,[4] Chen prime, palindromic prime, centered hexagonal number,[5] happy number, Mertens function(919) returns 0

920s[edit]

930s[edit]

940s[edit]

  • 940 = 22 × 5 × 47, totient sum for first 55 integers
  • 941 = prime number, sum of three consecutive primes (311 + 313 + 317), sum of five consecutive primes (179 + 181 + 191 + 193 + 197), Chen prime, Eisenstein prime with no imaginary part
  • 942 = 2 × 3 × 157, sphenic number, sum of four consecutive primes (229 + 233 + 239 + 241), nontotient
  • 943 = 23 × 41
  • 944 = 24 × 59, nontotient
  • 945 = 33 × 5 × 7, double factorial of 9,[15] smallest odd abundant number (divisors less than itself add up to 975);[16] smallest odd primitive abundant number;[17] smallest odd primitive semiperfect number;[18] Leyland number[19]
  • 946 = 2 × 11 × 43, sphenic number, triangular number,[1] hexagonal number,[20] happy number
  • 947 = prime number, sum of seven consecutive primes (113 + 127 + 131 + 137 + 139 + 149 + 151), balanced prime,[21] Chen prime, Eisenstein prime with no imaginary part
  • 948 = 22 × 3 × 79, nontotient, forms a Ruth–Aaron pair with 949 under second definition
  • 949 = 13 × 73, forms a Ruth–Aaron pair with 948 under second definition

950s[edit]

  • 950 = 2 × 52 × 19, nontotient
    • one of two ISBN Group Identifiers for books published in Argentina
  • 951 = 3 × 317, centered pentagonal number[22]
    • one of two ISBN Group Identifiers for books published in Finland
  • 952 = 23 × 7 × 17
  • 953 = prime number, Sophie Germain prime,[23] Chen prime, Eisenstein prime with no imaginary part, centered heptagonal number[24]
    • ISBN Group Identifier for books published in Croatia
  • 954 = 2 × 32 × 53, sum of ten consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), nontotient, Harshad number
  • 955 = 5 × 191
    • ISBN Group Identifier for books published in Sri Lanka
  • 956 = 22 × 239
    • ISBN Group Identifier for books published in Chile
  • 957 = 3 × 11 × 29, sphenic number
    • one of two ISBN Group Identifiers for books published in Taiwan and China
  • 958 = 2 × 479, nontotient, Smith number[2]
  • 959 = 7 × 137, Carol number[25]
    • ISBN Group Identifier for books published in Cuba

960s[edit]

  • 960 = 26 × 3 × 5, sum of six consecutive primes (149 + 151 + 157 + 163 + 167 + 173), Harshad number
    • country calling code for Maldives, ISBN Group Identifier for books published in Greece
    • The number of possible starting positions for the chess variant Chess960
      • Chess960 also got its name from the number itself
  • 961 = 312, the largest 3-digit perfect square, sum of three consecutive primes (313 + 317 + 331), sum of five consecutive primes (181 + 191 + 193 + 197 + 199), centered octagonal number[26]
    • country calling code for Lebanon, ISBN Group Identifier for books published in Slovenia
  • 962 = 2 × 13 × 37, sphenic number, nontotient
    • country calling code for Jordan, one of two ISBN Group Identifiers for books published in Hong Kong
  • 963 = 32 × 107, sum of the first twenty-four primes
    • country calling code for Syria, ISBN Group Identifier for books published in Hungary
  • 964 = 22 × 241, sum of four consecutive primes (233 + 239 + 241 + 251), nontotient, totient sum for first 56 integers
    • country calling code for Iraq, ISBN Group Identifier for books published in Iran, happy number
  • 965 = 5 × 193
    • country calling code for Kuwait, ISBN Group Identifier for books published in Israel
  • 966 = 2 × 3 × 7 × 23, sum of eight consecutive primes (103 + 107 + 109 + 113 + 127 + 131 + 137 + 139), Harshad number
    • country calling code for Saudi Arabia, one of two ISBN Group Identifiers for books published in Ukraine
  • 967 = prime number
    • country calling code for Yemen, one of two ISBN Group Identifiers for books published in Malaysia
  • 968 = 23 × 112, nontotient
    • country calling code for Oman, one of two ISBN Group Identifiers for books published in Mexico
  • 969 = 3 × 17 × 19, sphenic number, nonagonal number,[27] tetrahedral number[28]

970s[edit]

  • 970 = 2 × 5 × 97, sphenic number
    • country calling code for Palestinian territories, one of two ISBN Group Identifiers for books published in Mexico

980s[edit]

990s[edit]

  • 990 = 2 × 32 × 5 × 11, sum of six consecutive primes (151 + 157 + 163 + 167 + 173 + 179), triangular number,[1] Harshad number
  • 991 = prime number, sum of five consecutive primes (191 + 193 + 197 + 199 + 211), sum of seven consecutive primes (127 + 131 + 137 + 139 + 149 + 151 + 157), Chen prime
  • 992 = 25 × 31, pronic number,[11] nontotient; number of eleven-dimensional exotic spheres.[38]
    • country calling code for Tajikistan
  • 993 = 3 × 331
    • country calling code for Turkmenistan
  • 994 = 2 × 7 × 71, sphenic number, nontotient
    • country calling code for Azerbaijan
  • 995 = 5 × 199
    • country calling code for Georgia
    • Singapore fire brigade and emergency ambulance services hotline
  • 996 = 22 × 3 × 83
    • country calling code for Kyrgyzstan
  • 997 is the largest three-digit prime number, strictly non-palindromic number[31]
  • 998 = 2 × 499, nontotient
    • country calling code for Uzbekistan

See also[edit]

1000 (number)

References[edit]

  1. ^ a b c "Sloane's A000217 : Triangular numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  2. ^ a b c d e "Sloane's A006753 : Smith numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  3. ^ "Sloane's A005282 : Mian-Chowla sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  4. ^ "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  5. ^ "Sloane's A003215 : Hex (or centered hexagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  6. ^ "Sloane's A000984 : Central binomial coefficients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  7. ^ "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  8. ^ "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  9. ^ "Sloane's A000073 : Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  10. ^ "Sloane's A080076 : Proth primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  11. ^ a b "Sloane's A002378 : Oblong (or promic, pronic, or heteromecic) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  12. ^ "Sloane's A006972 : Lucas-Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  13. ^ "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  14. ^ "Sloane's A003154 : Centered 12-gonal numbers. Also star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  15. ^ "Sloane's A006882 : Double factorials". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  16. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 13. ISBN 978-1-84800-000-1. 
  17. ^ "Sloane's A006038 : Odd primitive abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  18. ^ "Sloane's A006036 : Primitive pseudoperfect numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  19. ^ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  20. ^ "Sloane's A000384 : Hexagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  21. ^ a b "Sloane's A006562 : Balanced primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  22. ^ "Sloane's A005891 : Centered pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  23. ^ "Sloane's A005384 : Sophie Germain primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  24. ^ "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  25. ^ "Sloane's A093112 : a(n) = (2^n-1)^2 - 2". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  26. ^ "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  27. ^ "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  28. ^ "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  29. ^ "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  30. ^ "Sloane's A042978 : Stern primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  31. ^ a b c "Sloane's A016038 : Strictly non-palindromic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  32. ^ "Sloane's A005385 : Safe primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  33. ^ "Sloane's A001190 : Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  34. ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  35. ^ "Sloane's A000129 : Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  36. ^ "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  37. ^ "Sloane's A0217719 : Extra strong Lucas pseudoprimes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  38. ^ "week164". Math.ucr.edu. 2001-01-13. Retrieved 2014-05-12.