97 (number)
Appearance
| ||||
|---|---|---|---|---|
| Cardinal | ninety-seven | |||
| Ordinal | 97th (ninety-seventh) | |||
| Factorization | prime | |||
| Prime | 25th | |||
| Divisors | 1, 97 | |||
| Greek numeral | ϞΖ´ | |||
| Roman numeral | XCVII, xcvii | |||
| Binary | 11000012 | |||
| Ternary | 101213 | |||
| Senary | 2416 | |||
| Octal | 1418 | |||
| Duodecimal | 8112 | |||
| Hexadecimal | 6116 | |||
97 (ninety-seven) is the natural number following 96 and preceding 98.
In mathematics
[edit]97 is the 25th prime number, a happy prime, and an emirp with 79. It is the smallest odd prime that is not a cluster prime.[1] Because 97 = 3 × 25 + 1, 97 is a Proth prime and a Pierpont prime.[2] There are 97 primes less than 29.[3]
97 is the eleventh member of the Mian–Chowla sequence.[4]
Since there is no integer that added to its own digits adds up to 97, 97 isa self number in base 10.[5]
is a commonly used approximation of the irrational number √3.[citation needed]
References
[edit]- ↑ Sloane, N. J. A. (ed.). "Sequence A038133 (Odd primes that are not cluster primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-08-19.
- ↑ "Sloane's A080076 : Proth primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ↑ Sloane, N. J. A. (ed.). "Sequence A007053". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
- ↑ "Sloane's A005282 : Mian-Chowla sequence". The On-Line Encyclopedia of integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ↑ "Sloane's A003052 : Self numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.