313 (number)
Natural number
From Wikipedia, the free encyclopedia
313 (three hundred [and] thirteen) is the natural number following 312 and preceding 314.
| ||||
|---|---|---|---|---|
| Cardinal | three hundred thirteen | |||
| Ordinal | 313th (three hundred thirteenth) | |||
| Factorization | prime | |||
| Prime | 65th, twin, palindromic | |||
| Greek numeral | ΤΙΓ´ | |||
| Roman numeral | CCCXIII, cccxiii | |||
| Binary | 1001110012 | |||
| Ternary | 1021213 | |||
| Senary | 12416 | |||
| Octal | 4718 | |||
| Duodecimal | 22112 | |||
| Hexadecimal | 13916 | |||
In mathematics
313 is:
- a twin prime with 311
- a centered square number[1]
- a full reptend prime[2] (and the smallest number which is a full reptend prime in base 10 but not in base 2 to 9)
- a Pythagorean prime[3]
- a regular prime[4]
- a palindromic prime in both decimal and binary.
- a truncatable prime[5]
- a weakly prime in base 5
- a happy number[6]
- an Armstrong number - in base 4 ( 3×42 + 1×41 + 3×40 = 33 + 13 + 33 )
- an index of a prime Lucas number.[7]
- a palindromic number in base 2 (100111001)
In religion
- The number of times the word pray appears in the King James Bible.
- The number of soldiers that Muhammad had with him in the first battle fought by the Muslims, the Battle of Badr.[8]
