3,125 is an odd composite number. It is composed of a single prime number multiplied by itself four times.

What does the number 3125 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 6 divisors.

3125 is an odd composite number. It is composed of one distinct prime number multiplied by itself four times. It has a total of six divisors.

Prime factorization of 3125:


(5 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 3125 from the Numbermatics database.

Names of 3125

  • Cardinal: 3125 can be written as Three thousand, one hundred twenty-five.

Scientific notation

  • Scientific notation: 3.125 × 103

Factors of 3125

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 5

Divisors of 3125

  • Number of divisors d(n): 6
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3906
  • Sum of proper divisors (its aliquot sum) s(n): 781
  • 3125 is a deficient number, because the sum of its proper divisors (781) is less than itself. Its deficiency is 2344

Bases of 3125

  • Binary: 1100001101012
  • Hexadecimal: 0xC35
  • Base-36: 2ET

Squares and roots of 3125

  • 3125 squared (31252) is 9765625
  • 3125 cubed (31253) is 30517578125
  • The square root of 3125 is 55.9016994375
  • The cube root of 3125 is 14.6200886911

Scales and comparisons

How big is 3125?
  • 3,125 seconds is equal to 52 minutes, 5 seconds.
  • To count from 1 to 3,125 would take you about fifty-two 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 3125 cubic inches would be around 1.2 feet tall.

Recreational maths with 3125

  • 3125 backwards is 5213
  • The number of decimal digits it has is: 4
  • The sum of 3125's digits is 11
  • More coming soon!

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"Number 3125 - Facts about the integer". Numbermatics.com. 2022. Web. 9 August 2022.

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Numbermatics. (2022). Number 3125 - Facts about the integer. Retrieved 9 August 2022, from https://numbermatics.com/n/3125/

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The information we have on file for 3125 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 3125, math, Factors of 3125, curriculum, school, college, exams, university, Prime factorization of 3125, STEM, science, technology, engineering, physics, economics, calculator, three thousand, one hundred twenty-five.

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