313 (number)
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 | twin prime, palindromic prime | |||
| Greek numeral | ΤΙΓ´ | |||
| Roman numeral | CCCXIII | |||
| Binary | 1001110012 | |||
| Ternary | 1021213 | |||
| Octal | 4718 | |||
| Duodecimal | 22112 | |||
| Hexadecimal | 13916 | |||
In mathematics
313 is:
- a prime number
- a twin prime with 311
- a centered square number[1]
- a full reptend prime (and the smallest number which is a full reptend prime in base 10 but not in base 2 to 9)
- a pythagorean prime
- a regular prime[2]
- a palindromic prime in both decimal and binary.
- a truncatable prime
- a weakly prime in base 5
- a happy number[3]
- an Armstrong number - in base 4 ( 3×42 + 1×41 + 3×40 = 33 + 13 + 33 )
Religious significance
- The number of soldiers that Muhammad had with him in the first battle fought by the Muslims, the Battle of Badr [4]
- In Twelver Shia Islam, 313 is the number of soldiers or generals that will be in the army of the 12th "Imam of time" (Mahdi).
In popular culture
- The number 313 is the U.S. telephone area code for the city of Detroit and nearby locales.[5]
- Frame 313 of the Zapruder film shows the moment of impact for the bullet that killed President John F. Kennedy.[6]
- Donald Duck's car plate bears the number 313.
- The sixth track of the album Get Some (album) by Snot (band) is called 313.
- The fifth track of the album Infinite (album) by Eminem is called 313.
References
- "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- "Sloane's A007703 : Regular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- "Sloane's A007770 : Happy numbers]". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- Razwy, Sayed Ali Asgher. A Restatement of the History of Islam & Muslims. pp. 132–133.
- North American Numbering Plan Administration (2012). "NANPA Area Codes Map: Michigan". Nanpa.com. NeuStar. Retrieved 19 February 2012.
- Bugliosi, Vincent (2007). Reclaiming History: The Assassination of President John F. Kennedy. New York: W.W. Norton. p. 505. ISBN 978-0-393-04525-3.
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