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| 57 | |
|---|---|
| Cardinal | fifty-seven |
| Ordinal | 57th (fifty-seventh) |
| Factorization | ![]() |
| Divisors | 1, 3, 19, 57 |
| Roman numeral | LVII |
| Binary | 1110012 |
| Octal | 718 |
| Duodecimal | 4912 |
| Hexadecimal | 3916 |
57 (fifty-seven) is the natural number following 56 and preceding 58.
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Fifty-seven is the sixteenth discrete semiprime and the sixth in the (3.q) family. With 58 it forms the fourth discrete bi-prime pair. 57 has an aliquot sum of 23 and is the first composite member of the 23-aliquot tree. Although 57 is not prime, it is jokingly known as the "Grothendieck prime" after a story in which Grothendieck supposedly gave it as an example of a particular prime number.[1]
As a semiprime, 57 is a Blum integer since its two prime factors are both Gaussian primes.
57 is a 20-gonal number. It is a Leyland number since 25 + 52 = 57.
57 is a repdigit in base 7 (111).
See also 57-cell.
Fifty-seven is:
AD 57, 57 BC, 1957, 2057, etc.
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