| ||||
|---|---|---|---|---|
| Cardinal | fifty-seven | |||
| Ordinal | 57th (fifty-seventh) | |||
| Factorization | 3 × 19 | |||
| Divisors | 1, 3, 19, 57 | |||
| Greek numeral | ΝΖ´ | |||
| Roman numeral | LVII | |||
| Binary | 1110012 | |||
| Ternary | 20103 | |||
| Senary | 1336 | |||
| Octal | 718 | |||
| Duodecimal | 4912 | |||
| Hexadecimal | 3916 | |||
57 (fifty-seven) is the natural number following 56 and preceding 58. It is a composite number.
57 is semiprime [1] a Blum integer, [2] and a Leyland number. [3]
The split Lie algebra E7+1/2 has a 57-dimensional Heisenberg algebra as its nilradical, and the smallest possible homogeneous space for E8 is also 57-dimensional. [4]
Although fifty-seven is not prime, it is jokingly known as the Grothendieck prime after a legend according to which the mathematician Alexander Grothendieck supposedly gave it as an example of a particular prime number. [5] The joke is that he is famous for working abstractly, without concrete examples. However, while the veracity of this legend about Grothendieck is unclear, it is known that this very error was committed by another famous mathematician Hermann Weyl in a published article. [6]
In mathematics, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers. Because there are infinitely many prime numbers, there are also infinitely many semiprimes. Semiprimes are also called biprimes, since they include two primes, or second numbers, by analogy with how "prime" means "first".
38 (thirty-eight) is the natural number following 37 and preceding 39.
27 is the natural number following 26 and preceding 28.
69 is the natural number following 68 and preceding 70. An odd number and a composite number, 69 is divisible by 1, 3, 23 and 69.
84 (eighty-four) is the natural number following 83 and preceding 85. It is seven dozens.
85 (eighty-five) is the natural number following 84 and preceding 86.
79 (seventy-nine) is the natural number following 78 and preceding 80.
74 (seventy-four) is the natural number following 73 and preceding 75.
34 (thirty-four) is the natural number following 33 and preceding 35.
39 (thirty-nine) is the natural number following 38 and preceding 40.
46 (forty-six) is the natural number following 45 and preceding 47.
52 (fifty-two) is the natural number following 51 and preceding 53.
54 (fifty-four) is the natural number following 53 and preceding 55.
58 (fifty-eight) is the natural number following 57 and preceding 59.
63 (sixty-three) is the natural number following 62 and preceding 64.
91 (ninety-one) is the natural number following 90 and preceding 92.
93 (ninety-three) is the natural number following 92 and preceding 94.
97 (ninety-seven) is the natural number following 96 and preceding 98. It is a prime number and the only prime in the nineties.
177 is the natural number following 176 and preceding 178.
253 is the natural number following 252 and preceding 254.