233 (number)
Encyclopedia : 2 : 23 : 233 : 233 (number)
233 is the natural number between 232 and 234. It is also a prime number.
| |
| Ordinal | Two hundred [and] thirty-three |
| Cardinal | 233rd Two hundred and thirty-third |
| Factorization | prime number |
| Roman numeral | CCXXXIII |
| Binary | 11101001 |
| Hexadecimal | E9 |
In mathematics
233 is an irregular prime, a full reptend prime, a cousin prime, and a sexy prime. It is an Eisenstein prime of the form [3n - 1] with no imaginary part. Since 233 × 2 + 1 = 467, another prime, 233 is a Sophie Germain prime.
It is a Fibonacci number, being the sum of 89 and 144. Being an odd-indexed Fibonacci number, it is also a Markov number, appearing in solutions to the Markov Diophantine equation: (1, 89, 233), (89, 233, 610), (233, 610, 426389), ...
In base 10 there is no integer that added up to its own digits yields 233, hence 233 is a self number. In base 3, the sum of 233's digits is composite, no smaller prime has this property.
In other fields
In current teenage slang and Internet discourse, 233 is sometimes used instead of BFF to abbreviate "Best Friends Forever." The digits correspond to the number keys that would be pressed on a telephone while sending a text message.
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