31125

31,125 is an odd composite number composed of three prime numbers multiplied together.

What does the number 31125 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

31125 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 31125:

3 × 53 × 83

(3 × 5 × 5 × 5 × 83)

See below for interesting mathematical facts about the number 31125 from the Numbermatics database.


Names of 31125

  • Cardinal: 31125 can be written as Thirty-one thousand, one hundred twenty-five.

Scientific notation

  • Scientific notation: 3.1125 × 104

Factors of 31125

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 91

Divisors of 31125

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 52416
  • Sum of proper divisors (its aliquot sum) s(n): 21291
  • 31125 is a deficient number, because the sum of its proper divisors (21291) is less than itself. Its deficiency is 9834

Bases of 31125

  • Binary: 1111001100101012
  • Hexadecimal: 0x7995
  • Base-36: O0L

Squares and roots of 31125

  • 31125 squared (311252) is 968765625
  • 31125 cubed (311253) is 30152830078125
  • The square root of 31125 is 176.4227876435
  • The cube root of 31125 is 31.4559727577

Scales and comparisons

How big is 31125?
  • 31,125 seconds is equal to 8 hours, 38 minutes, 45 seconds.
  • To count from 1 to 31,125 would take you about eight 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 31125 cubic inches would be around 2.6 feet tall.

Recreational maths with 31125

  • 31125 backwards is 52113
  • The number of decimal digits it has is: 5
  • The sum of 31125's digits is 12
  • More coming soon!

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"Number 31125 - Facts about the integer". Numbermatics.com. 2024. Web. 24 April 2024.

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Numbermatics. (2024). Number 31125 - Facts about the integer. Retrieved 24 April 2024, from https://numbermatics.com/n/31125/

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The information we have on file for 31125 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 31125, math, Factors of 31125, curriculum, school, college, exams, university, Prime factorization of 31125, STEM, science, technology, engineering, physics, economics, calculator, thirty-one thousand, one hundred twenty-five.

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