900 (number)

For the year 900, see 900 BC or 900 AD.

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.

List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	900 nine hundred
Ordinal	900th nine hundredth
Factorization	$2^2 \cdot 3^2 \cdot 5^2$
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
Roman numeral (Unicode)	CM, cm
Binary	1110000100
Octal	1604
Duodecimal	630
Hexadecimal	384

Nine hundred is also:

• A telephone area code for "premium" phone calls in the North American Numbering Plan
• In Greek number symbols, the sign Sampi ("ϡ", literally "like a Pi")
• A skateboarding trick in which the skateboarder spins two and a half times (360 degrees times 2.5 is 900)

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901 = 17 × 53

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

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

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

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

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

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907 prime number

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908 = 2² × 227, nontotient

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909 = 3² × 101

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910 = 2 × 5 × 7 × 13, Mertens function(910) returns 0, Harshad number

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911 has its own page

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912 = 2⁴ × 3 × 19, sum of four consecutive primes (223 + 227 + 229 + 233), sum of ten consecutive primes (67 + 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.

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913 = 11 × 83, Smith number, Mertens function(913) returns 0. After escaping the Jedi purge, Obi-Wan Kenobi transmitted a 913 emergency transmission.

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914 = 2 × 457, nontotient

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

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

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

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918 = 2 × 3³ × 17, Harshad number

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

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

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921 = 3 × 307

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922 = 2 × 461, nontotient, Smith number

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923 = 13 × 71

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924 = 2² × 3 × 7 × 11, sum of a twin prime (461 + 463)

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925 = 5² × 37, centered square number, the millesimal fineness number for Sterling silver

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

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927 = 3² × 103, tribonacci number

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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)

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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

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930 = 2 × 3 × 5 × 31, pronic number

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

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932 = 2² × 233

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933 = 3 × 311

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934 = 2 × 467, nontotient

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

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

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937 prime number, Chen prime, star number

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

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939 = 3 × 313

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940 = 2² × 5 × 47, totient sum for first 55 integers

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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

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942 = 2 × 3 × 157, sphenic number, sum of four consecutive primes (229 + 233 + 239 + 241), nontotient

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943 = 23 × 41

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944 = 2⁴ × 59, nontotient

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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

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

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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

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948 = 2² × 3 × 79, nontotient, forms a Ruth–Aaron pair with 949 under second definition

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949 = 13 × 73, forms a Ruth–Aaron pair with 948 under second definition

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950 = 2 × 5² × 19, nontotient, also one of two ISBN Group Identifiers for books published in Argentina

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951 = 3 × 317, centered pentagonal number, also one of two ISBN Group Identifiers for books published in Finland

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952 = 2³ × 7 × 17

• 952 is also 9-5-2, a card game similar to bridge.
• one of two ISBN Group Identifiers for books published in Finland

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953 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, centered heptagonal number, also ISBN Group Identifier for books published in Croatia

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954 = 2 × 3² × 53, sum of ten consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), nontotient, Harshad number, also ISBN Group Identifier for books published in Bulgaria. Also one of the Area Codes in the South Florida Area

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955 = 5 × 191, also ISBN Group Identifier for books published in Sri Lanka

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956 = 2² × 239, also ISBN Group Identifier for books published in Chile

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957 = 3 × 11 × 29, sphenic number, also one of two ISBN Group Identifiers for books published in Taiwan and China

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958 = 2 × 479, nontotient, Smith number, the ISBN Group Identifier for books published in Colombia, the millesimal fineness number for Britannia silver

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959 = 7 × 137, Carol number, also ISBN Group Identifier for books published in Cuba

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960 = 2⁶ × 3 × 5, sum of six consecutive primes (149 + 151 + 157 + 163 + 167 + 173), Harshad number, also ISBN Group Identifier for books published in Greece

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961 = 31², sum of three consecutive primes (313 + 317 + 331), sum of five consecutive primes (181 + 191 + 193 + 197 + 199), centered octagonal number, also ISBN Group Identifier for books published in Slovenia

• is the largest 3-digit perfect square.

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962 = 2 × 13 × 37, sphenic number, nontotient, also one of two ISBN Group Identifiers for books published in Hong Kong

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963 = 3² × 107, sum of the first twenty-four primes, also ISBN Group Identifier for books published in Hungary

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964 = 2² × 241, sum of four consecutive primes (233 + 239 + 241 + 251), nontotient, totient sum for first 56 integers, also ISBN Group Identifier for books published in Iran

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965 = 5 × 193, also ISBN Group Identifier for books published in Israel

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966 = 2 × 3 × 7 × 23, sum of eight consecutive primes (103 + 107 + 109 + 113 + 127 + 131 + 137 + 139), Harshad number, also one of two ISBN Group Identifiers for books published in Ukraine

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967 prime number, also one of two ISBN Group Identifiers for books published in Malaysia

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968 = 2³ × 11², nontotient, also one of two ISBN Group Identifiers for books published in Mexico

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969 = 3 × 17 × 19, sphenic number, nonagonal number, tetrahedral number, also ISBN Group Identifier for books published in Pakistan, age of Matuzalem according to Old Testament

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970 = 2 × 5 × 97, sphenic number, also one of two ISBN Group Identifiers for books published in Mexico

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971 prime number, Chen prime, Eisenstein prime with no imaginary part, also ISBN Group Identifier for books published in the Philippines

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972 = 2² × 3⁵, Harshad number, also one of two ISBN Group Identifiers for books published in Portugal

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973 = 7 × 139, also ISBN Group Identifier for books published in Romania

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974 = 2 × 487, nontotient, also ISBN Group Identifier for books published in Thailand

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975 = 3 × 5² × 13, also ISBN Group Identifier for books published in Turkey

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976 = 2⁴ × 61, decagonal number, also ISBN Group Identifier for books published in Antigua, Bahamas, Barbados, Belize, Cayman Islands, Dominica, Grenada, Guyana, Jamaica, Montserrat, Saint Kitts and Nevis, St. Lucia, St. Vincent and the Grenadines, Trinidad and Tobago, and the British Virgin Islands

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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, also ISBN Group Identifier for books published in Egypt

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978 = 2 × 3 × 163, sphenic number, nontotient, also ISBN Group Identifier for books published in Nigeria

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979 = 11 × 89, also ISBN Group Identifier for books published in Indonesia

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980 = 2² × 5 × 7², also ISBN Group Identifier for books published in Venezuela

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981 = 3² × 109, also one of two ISBN Group Identifiers for books published in Singapore

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982 = 2 × 491, also ISBN Group Identifier for books published in the Cook Islands, Fiji, Kiribati, Marshall Islands, Micronesia, Nauru, New Caledonia, Niue, Palau, Solomon Islands, Tokelau, Tonga, Tuvalu, Vanuatu, Western Samoa

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983 prime number, safe prime, Chen prime, Eisenstein prime with no imaginary part, Wedderburn–Etherington number, strictly non-palindromic number, also one of two ISBN Group Identifiers for books published in Malaysia

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984 = 2³ × 3 × 41, also ISBN Group Identifier for books published in Bangladesh

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985 = 5 × 197, sum of three consecutive primes (317 + 331 + 337), Markov number, Pell number, Smith number, also one of two ISBN Group Identifiers for books published in Belarus

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986 = 2 × 17 × 29, sphenic number, nontotient, also one of two ISBN Group Identifiers for books published in Taiwan and China

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987 = 3 × 7 × 47, Fibonacci number, also one of two ISBN Group Identifiers for books published in Argentina

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988 = 2² × 13 × 19, sum of four consecutive primes (239 + 241 + 251 + 257), nontotient, also one of two ISBN Group Identifiers for books published in Hong Kong

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989 = 23 × 43, also one of two ISBN Group Identifiers for books published in Portugal

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990 = 2 × 3² × 5 × 11, sum of six consecutive primes (151 + 157 + 163 + 167 + 173 + 179), triangular number, Harshad number; also, best possible VantageScore credit score

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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

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992 = 2⁵ × 31, pronic number, nontotient; number of eleven-dimensional exotic spheres [1].

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993 = 3 × 331

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

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995 = 5 × 199

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996 = 2² × 3 × 83

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997 prime number, strictly non-palindromic number

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998 = 2 × 499, nontotient

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999 = 3³ × 37, Kaprekar number, Harshad number

• In some parts of the world, such as the UK and Commonwealth countries, 999 (pronounced as 9-9-9) is the emergency telephone number; it is as of 2004^[update] being quickly supplemented^{[citation needed]}, by the international emergency number 1-1-2 and the North American 9-1-1.
• 999 was a London punk band active during the 1970s.

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See also

1000 (number)

References

1. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 13. ISBN 978-1-84800-000-1.