31,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 31968 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

31968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 31968:

25 × 33 × 37

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 37)

See below for interesting mathematical facts about the number 31968 from the Numbermatics database.

Names of 31968

  • Cardinal: 31968 can be written as Thirty-one thousand, nine hundred sixty-eight.

Scientific notation

  • Scientific notation: 3.1968 × 104

Factors of 31968

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 9
  • Sum of prime factors: 42

Divisors of 31968

Bases of 31968

  • Binary: 1111100111000002
  • Hexadecimal: 0x7CE0
  • Base-36: OO0

Squares and roots of 31968

  • 31968 squared (319682) is 1021953024
  • 31968 cubed (319683) is 32669794271232
  • The square root of 31968 is 178.7959731089
  • The cube root of 31968 is 31.7374348361

Scales and comparisons

How big is 31968?
  • 31,968 seconds is equal to 8 hours, 52 minutes, 48 seconds.
  • To count from 1 to 31,968 would take you about eight 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 31968 cubic inches would be around 2.6 feet tall.

Recreational maths with 31968

  • 31968 backwards is 86913
  • 31968 is a Harshad number.
  • The number of decimal digits it has is: 5
  • The sum of 31968's digits is 27
  • More coming soon!

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"Number 31968 - Facts about the integer". Numbermatics.com. 2020. Web. 7 July 2020.

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Numbermatics. (2020). Number 31968 - Facts about the integer. Retrieved 7 July 2020, from https://numbermatics.com/n/31968/

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The information we have on file for 31968 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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