313 (number)

313 (three hundred [and] thirteen) is the natural number following 312 and preceding 314.

← 312 313 314 →
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

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

• 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.

See also

• The year 313 AD
• The year 313 BC

References

1. "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
2. "Sloane's A007703 : Regular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
3. "Sloane's A007770 : Happy numbers]". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
4. Razwy, Sayed Ali Asgher. A Restatement of the History of Islam & Muslims. pp. 132–133.
5. North American Numbering Plan Administration (2012). "NANPA Area Codes Map: Michigan". Nanpa.com. NeuStar. Retrieved 19 February 2012.
6. 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.