13972

13,972 is an even composite number composed of three prime numbers multiplied together.

What does the number 13972 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

13972 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 13972:

22 × 7 × 499

(2 × 2 × 7 × 499)

See below for interesting mathematical facts about the number 13972 from the Numbermatics database.


Names of 13972

  • Cardinal: 13972 can be written as Thirteen thousand, nine hundred seventy-two.

Scientific notation

  • Scientific notation: 1.3972 × 104

Factors of 13972

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 508

Divisors of 13972

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 28000
  • Sum of proper divisors (its aliquot sum) s(n): 14028
  • 13972 is an abundant number, because the sum of its proper divisors (14028) is greater than itself. Its abundance is 56

Bases of 13972

  • Binary: 110110100101002
  • Hexadecimal: 0x3694
  • Base-36: AS4

Squares and roots of 13972

  • 13972 squared (139722) is 195216784
  • 13972 cubed (139723) is 2727568906048
  • The square root of 13972 is 118.2032148461
  • The cube root of 13972 is 24.0853443029

Scales and comparisons

How big is 13972?
  • 13,972 seconds is equal to 3 hours, 52 minutes, 52 seconds.
  • To count from 1 to 13,972 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 13972 cubic inches would be around 2 feet tall.

Recreational maths with 13972

  • 13972 backwards is 27931
  • The number of decimal digits it has is: 5
  • The sum of 13972's digits is 22
  • More coming soon!

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"Number 13972 - Facts about the integer". Numbermatics.com. 2024. Web. 18 April 2024.

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Numbermatics. (2024). Number 13972 - Facts about the integer. Retrieved 18 April 2024, from https://numbermatics.com/n/13972/

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The information we have on file for 13972 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!

Keywords: Divisors of 13972, math, Factors of 13972, curriculum, school, college, exams, university, Prime factorization of 13972, STEM, science, technology, engineering, physics, economics, calculator, thirteen thousand, nine hundred seventy-two.

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