313 (number)

From Wikipedia, the free encyclopedia
← 312 313 314 →
List of numbers — Integers
← 0 100 200 300 400 500 600 700 800 900 →
Cardinalthree hundred thirteen
Ordinal313th
(three hundred thirteenth)
Factorizationprime
Primetwin prime, palindromic prime
Greek numeralΤΙΓ´
Roman numeralCCCXIII
Binary1001110012
Ternary1021213
Octal4718
Duodecimal22112
Hexadecimal13916

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 (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 )

In religion[]

  • 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.
  • Flight 313 was a 2014 thriller movie about airline cover up.
  • 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.


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