313 (number)

	List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
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
Quaternary	103214
Quinary	22235
Senary	12416
Octal	4718
Duodecimal	22112
Hexadecimal	13916
Vigesimal	FD20
Base 36	8P36

313 (three hundred [and] thirteen) is the natural number 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 )

In Twelver Shia Islam mysticism, 313 is the number of soldiers in the army of the 12th "hidden Imam" (Mahdi).

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.
The fifth track of the album Infinite (album) by Eminem is called 313.

↑ "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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