313 (number)

Short description: Natural number

| <- 312  | 313 | 314 ->

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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.

## Contents

* 1 In mathematics
* 2 In religion
* 3 In other fields
* 4 See also
* 5 References

## 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.

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