7,972 is an even composite number composed of two prime numbers multiplied together.

What does the number 7972 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

7972 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

Prime factorization of 7972:

22 × 1993

(2 × 2 × 1993)

See below for interesting mathematical facts about the number 7972 from the Numbermatics database.

Names of 7972

  • Cardinal: 7972 can be written as Seven thousand, nine hundred seventy-two.

Scientific notation

  • Scientific notation: 7.972 × 103

Factors of 7972

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 1995

Divisors of 7972

  • Number of divisors d(n): 6
  • Complete list of divisors:
  • Sum of all divisors σ(n): 13958
  • Sum of proper divisors (its aliquot sum) s(n): 5986
  • 7972 is a deficient number, because the sum of its proper divisors (5986) is less than itself. Its deficiency is 1986

Bases of 7972

  • Binary: 11111001001002
  • Hexadecimal: 0x1F24
  • Base-36: 65G

Squares and roots of 7972

  • 7972 squared (79722) is 63552784
  • 7972 cubed (79723) is 506642794048
  • The square root of 7972 is 89.2860571421
  • The cube root of 7972 is 19.9766393913

Scales and comparisons

How big is 7972?
  • 7,972 seconds is equal to 2 hours, 12 minutes, 52 seconds.
  • To count from 1 to 7,972 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 7972 cubic inches would be around 1.7 feet tall.

Recreational maths with 7972

  • 7972 backwards is 2797
  • The number of decimal digits it has is: 4
  • The sum of 7972's digits is 25
  • More coming soon!

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"Number 7972 - Facts about the integer". Numbermatics.com. 2023. Web. 7 June 2023.

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Numbermatics. (2023). Number 7972 - Facts about the integer. Retrieved 7 June 2023, from https://numbermatics.com/n/7972/

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The information we have on file for 7972 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 7972, math, Factors of 7972, curriculum, school, college, exams, university, Prime factorization of 7972, STEM, science, technology, engineering, physics, economics, calculator, seven thousand, nine hundred seventy-two.

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