9,972 is an even composite number composed of three prime numbers multiplied together.

What does the number 9972 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

9972 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 9972:

22 × 32 × 277

(2 × 2 × 3 × 3 × 277)

See below for interesting mathematical facts about the number 9972 from the Numbermatics database.

Names of 9972

  • Cardinal: 9972 can be written as Nine thousand, nine hundred seventy-two.

Scientific notation

  • Scientific notation: 9.972 × 103

Factors of 9972

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 282

Divisors of 9972

  • Number of divisors d(n): 18
  • Complete list of divisors:
  • Sum of all divisors σ(n): 25298
  • Sum of proper divisors (its aliquot sum) s(n): 15326
  • 9972 is an abundant number, because the sum of its proper divisors (15326) is greater than itself. Its abundance is 5354

Bases of 9972

  • Binary: 100110111101002
  • Hexadecimal: 0x26F4
  • Base-36: 7P0

Squares and roots of 9972

  • 9972 squared (99722) is 99440784
  • 9972 cubed (99723) is 991623498048
  • The square root of 9972 is 99.8599018627
  • The cube root of 9972 is 21.5242200465

Scales and comparisons

How big is 9972?
  • 9,972 seconds is equal to 2 hours, 46 minutes, 12 seconds.
  • To count from 1 to 9,972 would take you about two 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 9972 cubic inches would be around 1.8 feet tall.

Recreational maths with 9972

  • 9972 backwards is 2799
  • The number of decimal digits it has is: 4
  • The sum of 9972's digits is 27
  • More coming soon!

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"Number 9972 - Facts about the integer". Numbermatics.com. 2021. Web. 27 November 2021.

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The information we have on file for 9972 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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