900 (number)

← 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
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.

Nine hundred is also:

901 = 17 × 53, happy number

902 = 2 × 11 × 41, sphenic number, nontotient, Harshad number

903 = 3 × 7 × 43, sphenic number, triangular number, Schröder–Hipparchus number, Mertens function (903) returns 0

904 = 23 × 113 or 113x8, Mertens function(904) returns 0

905 = 5 × 181, sum of seven consecutive primes (109 + 113 + 127 + 131 + 137 + 139 + 149)

906 = 2 × 3 × 151, sphenic number, Mertens function(906) returns 0

907 prime number

908 = 22 × 227, nontotient

909 = 32 × 101

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.

913 = 11 × 83, Smith number, Mertens function(913) returns 0.

914 = 2 × 457, nontotient

915 = 3 × 5 × 61, sphenic number, Smith number, Mertens function(915) returns 0, Harshad number

916 = 22 × 229, Mertens function(916) returns 0, nontotient, member of the Mian–Chowla sequence

917 = 7 × 131, sum of five consecutive primes (173 + 179 + 181 + 191 + 193)

918 = 2 × 33 × 17, Harshad number

919 prime number, cuban prime, Chen prime, palindromic prime, centered hexagonal number, happy number, Mertens function(919) returns 0

920 = 23 × 5 × 23, Mertens function(920) returns 0

921 = 3 × 307

922 = 2 × 461, nontotient, Smith number

923 = 13 × 71

924 = 22 × 3 × 7 × 11, sum of a twin prime (461 + 463), central binomial coefficient \tbinom {12} 6

925 = 52 × 37, pentagonal number, centered square number

926 = 2 × 463, sum of six consecutive primes (139 + 149 + 151 + 157 + 163 + 167), nontotient

927 = 32 × 103, tribonacci number

928 = 25 × 29, sum of four consecutive primes (227 + 229 + 233 + 239), sum of eight consecutive primes (101 + 103 + 107 + 109 + 113 + 127 + 131 + 137), happy number

929 prime number, Proth prime, palindromic prime, sum of nine consecutive primes (83 + 89 + 97 + 101 + 103 + 107 + 109 + 113 + 127), Eisenstein prime with no imaginary part

It is the number of an area code in New York.

930 = 2 × 3 × 5 × 31, pronic number

931 = 72 × 19; sum of three consecutive primes (307 + 311 + 313); double repdigit, 11130 and 77711

932 = 22 × 233

933 = 3 × 311

934 = 2 × 467, nontotient

935 = 5 × 11 × 17, sphenic number, Lucas–Carmichael number, Harshad number

936 = 23 × 32 × 13, pentagonal pyramidal number, Harshad number

937 prime number, Chen prime, star number, happy number

938 = 2 × 7 × 67, sphenic number, nontotient

939 = 3 × 313

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, smallest odd abundant number (divisors less than itself add up to 975);[1] smallest odd primitive abundant number; smallest odd primitive semiperfect number; Leyland number

946 = 2 × 11 × 43, sphenic number, triangular number, hexagonal number, happy number

947 prime number, sum of seven consecutive primes (113 + 127 + 131 + 137 + 139 + 149 + 151), balanced prime, 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

950 = 2 × 52 × 19, nontotient

951 = 3 × 317, centered pentagonal number

952 = 23 × 7 × 17

953 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, centered heptagonal number

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

956 = 22 × 239

957 = 3 × 11 × 29, sphenic number

958 = 2 × 479, nontotient, Smith number

959 = 7 × 137, Carol number

960 = 26 × 3 × 5, sum of six consecutive primes (149 + 151 + 157 + 163 + 167 + 173), Harshad number

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

962 = 2 × 13 × 37, sphenic number, nontotient

963 = 32 × 107, sum of the first twenty-four primes

964 = 22 × 241, sum of four consecutive primes (233 + 239 + 241 + 251), nontotient, totient sum for first 56 integers

965 = 5 × 193

966 = 2 × 3 × 7 × 23, sum of eight consecutive primes (103 + 107 + 109 + 113 + 127 + 131 + 137 + 139), Harshad number

967 prime number

968 = 23 × 112, nontotient

969 = 3 × 17 × 19, sphenic number, nonagonal number, tetrahedral number

970 = 2 × 5 × 97, sphenic number

971 prime number, Chen prime, Eisenstein prime with no imaginary part

972 = 22 × 35, Harshad number

973 = 7 × 139, happy number

974 = 2 × 487, nontotient

975 = 3 × 52 × 13

976 = 24 × 61, decagonal number

977 prime number, sum of nine consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113 + 127 + 131), balanced prime, Chen prime, Eisenstein prime with no imaginary part, Stern prime, strictly non-palindromic number

978 = 2 × 3 × 163, sphenic number, nontotient,

979 = 11 × 89

980 = 22 × 5 × 72

981 = 32 × 109

982 = 2 × 491, happy number

983 prime number, safe prime, Chen prime, Eisenstein prime with no imaginary part, Wedderburn–Etherington number, strictly non-palindromic number

984 = 23 × 3 × 41

985 = 5 × 197, sum of three consecutive primes (317 + 331 + 337), Markov number, Pell number, Smith number

986 = 2 × 17 × 29, sphenic number, nontotient

987 = 3 × 7 × 47, Fibonacci number

988 = 22 × 13 × 19, nontotient. sum of four consecutive primes (239 + 241 + 251 + 257)

989 = 23 × 43, Extra strong Lucas pseudoprime

990 = 2 × 32 × 5 × 11, sum of six consecutive primes (151 + 157 + 163 + 167 + 173 + 179), triangular number, 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, nontotient; number of eleven-dimensional exotic spheres.[2]

993 = 3 × 331

994 = 2 × 7 × 71, sphenic number, nontotient

995 = 5 × 199

996 = 22 × 3 × 83

997 prime number, strictly non-palindromic number

998 = 2 × 499, nontotient

999 = 33 × 37, Kaprekar number, Harshad number

See also

1000 (number)

References

Wikimedia Commons has media related to 900 (number).
  1. ↑ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 13. ISBN 978-1-84800-000-1.
  2. ↑ "week164". Math.ucr.edu. 2001-01-13. Retrieved 2014-05-12.