13,831 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 13831 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

13831 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 13831:


See below for interesting mathematical facts about the number 13831 from the Numbermatics database.

Names of 13831

  • Cardinal: 13831 can be written as Thirteen thousand, eight hundred thirty-one.

Scientific notation

  • Scientific notation: 1.3831 × 104

Factors of 13831

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 13831

Divisors of 13831

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 13832
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 13831 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 13830

Bases of 13831

  • Binary: 110110000001112
  • Hexadecimal: 0x3607
  • Base-36: AO7

Squares and roots of 13831

  • 13831 squared (138312) is 191296561
  • 13831 cubed (138313) is 2645822735191
  • The square root of 13831 is 117.6052719907
  • The cube root of 13831 is 24.0040502423

Scales and comparisons

How big is 13831?
  • 13,831 seconds is equal to 3 hours, 50 minutes, 31 seconds.
  • To count from 1 to 13,831 would take you about three hours.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 13831 cubic inches would be around 2 feet tall.

Recreational maths with 13831

  • 13831 is the same when its digits are reversed! That makes it a palindromic prime number.
  • The number of decimal digits it has is: 5
  • The sum of 13831's digits is 16
  • More coming soon!

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"Number 13831 - Facts about the integer". Numbermatics.com. 2020. Web. 25 November 2020.

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Numbermatics. (2020). Number 13831 - Facts about the integer. Retrieved 25 November 2020, from https://numbermatics.com/n/13831/

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The information we have on file for 13831 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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