975 is an odd composite number composed of three prime numbers multiplied together.

What does the number 975 look like?

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

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

Prime factorization of 975:

3 × 52 × 13

(3 × 5 × 5 × 13)

See below for interesting mathematical facts about the number 975 from the Numbermatics database.

Names of 975

  • Cardinal: 975 can be written as Nine hundred seventy-five.

Scientific notation

  • Scientific notation: 9.75 × 102

Factors of 975

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 21

Divisors of 975

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1736
  • Sum of proper divisors (its aliquot sum) s(n): 761
  • 975 is a deficient number, because the sum of its proper divisors (761) is less than itself. Its deficiency is 214

Bases of 975

  • Binary: 11110011112
  • Hexadecimal: 0x3CF
  • Base-36: R3

Squares and roots of 975

  • 975 squared (9752) is 950625
  • 975 cubed (9753) is 926859375
  • The square root of 975 is 31.2249899919
  • The cube root of 975 is 9.9159624135

Scales and comparisons

How big is 975?
  • 975 seconds is equal to 16 minutes, 15 seconds.
  • To count from 1 to 975 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 975 cubic inches would be around 0.8 feet tall.

Recreational maths with 975

  • 975 backwards is 579
  • The number of decimal digits it has is: 3
  • The sum of 975's digits is 21
  • More coming soon!

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"Number 975 - Facts about the integer". Numbermatics.com. 2024. Web. 16 April 2024.

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Numbermatics. (2024). Number 975 - Facts about the integer. Retrieved 16 April 2024, from https://numbermatics.com/n/975/

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The information we have on file for 975 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 975, math, Factors of 975, curriculum, school, college, exams, university, Prime factorization of 975, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-five.

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