313 (number)
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| ||||
|---|---|---|---|---|
| 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 | |||
| Senary | 12416 | |||
| Octal | 4718 | |||
| Duodecimal | 22112 | |||
| Hexadecimal | 13916 | |||
313 is an integer following 312 and preceding 314.
In mathematics
313 is:
- a prime number
- a twin prime with 311
- a centered square number[1]
- a full reptend prime (smallest prime which is 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
In Twelver Shia Islam mysticism, 313 is the number of soldiers in the army of the 12th "hidden Imam" (Mahdi).
In popular culture
The number 313 is the U.S. telephone area code for the city of Detroit and nearby locales.[4]
Frame 313 of the Zapruder film shows the moment of impact for the bullet that killed President John F. Kennedy.[5]
Donald Duck's car plate bears the number 313.
The sixth track of the album Get Some (album) by Snot (band) is called 313.
See also
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.
- ^ 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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