972 is an even composite number composed of two prime numbers multiplied together.

What does the number 972 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 18 divisors.

972 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 972:

22 × 35

(2 × 2 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 972 from the Numbermatics database.

Names of 972

  • Cardinal: 972 can be written as Nine hundred seventy-two.

Scientific notation

  • Scientific notation: 9.72 × 102

Factors of 972

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 5

Divisors of 972

  • Number of divisors d(n): 18
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2548
  • Sum of proper divisors (its aliquot sum) s(n): 1576
  • 972 is an abundant number, because the sum of its proper divisors (1576) is greater than itself. Its abundance is 604

Bases of 972

  • Binary: 11110011002
  • Hexadecimal: 0x3CC
  • Base-36: R0

Squares and roots of 972

  • 972 squared (9722) is 944784
  • 972 cubed (9723) is 918330048
  • The square root of 972 is 31.1769145363
  • The cube root of 972 is 9.9057817467

Scales and comparisons

How big is 972?
  • 972 seconds is equal to 16 minutes, 12 seconds.
  • To count from 1 to 972 would take you about eight minutes.

    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 972 cubic inches would be around 0.8 feet tall.

Recreational maths with 972

  • 972 backwards is 279
  • 972 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 972's digits is 18
  • More coming soon!

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"Number 972 - Facts about the integer". Numbermatics.com. 2023. Web. 2 December 2023.

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Numbermatics. (2023). Number 972 - Facts about the integer. Retrieved 2 December 2023, from https://numbermatics.com/n/972/

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The information we have on file for 972 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 972, math, Factors of 972, curriculum, school, college, exams, university, Prime factorization of 972, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two.

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