313 (Number)

From Handwiki
Short description: Natural number
← 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
Quaternary103214
Quinary22235
Senary12416
Octal4718
Duodecimal22112
Hexadecimal13916
VigesimalFD20
Base 368P36

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 )
  • an index of a prime Lucas number.[4]

In religion

  • The number of soldiers that Muhammad had with him in the first battle fought by the Muslims, the Battle of Badr.[5]
  • 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 other fields

  • The number 313 is the U.S. telephone area code for the city of Detroit and nearby locales.[6]
  • Frame 313 of the Zapruder film shows the moment of impact for the bullet that killed President John F. Kennedy.[7]
  • 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". OEIS Foundation. https://oeis.org/A001844. 
  2. ↑ "Sloane's A007703 : Regular primes". OEIS Foundation. https://oeis.org/A007703. 
  3. ↑ "Sloane's A007770 : Happy numbers"]. OEIS Foundation. https://oeis.org/A007770. 
  4. ↑ Sloane, N. J. A., ed. "Sequence A001606 (Indices of prime Lucas numbers)". OEIS Foundation. https://oeis.org/A001606. 
  5. ↑ Razwy, Sayed Ali Asgher. A Restatement of the History of Islam & Muslims. pp. 132–133.
  6. ↑ North American Numbering Plan Administration (2012). "NANPA Area Codes Map: Michigan". Nanpa.com. NeuStar. http://www.nanpa.com/area_code_maps/display.html?mi. 
  7. ↑ 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. https://archive.org/details/reclaiminghistor00bugl/page/505. 




Retrieved from "https://handwiki.org/wiki/index.php?title=313_(number)&oldid=3369575"

Categories: [Integers]

↧ Download as ZWI file | Last modified: 05/28/2024 00:11:02 | 5 views
☰ Source: https://handwiki.org/wiki/313_(number) | License: CC BY-SA 3.0

✘
ZWI is not signed. [what is this?]

ZWI viewer by the EncyclosphereKSF