15,625 is an odd composite number. It is composed of a single prime number multiplied by itself five times.

What does the number 15625 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 7 divisors.

15625 is an odd composite number. It is composed of one distinct prime number multiplied by itself five times. It has a total of seven divisors.

Prime factorization of 15625:


(5 × 5 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 15625 from the Numbermatics database.

Names of 15625

  • Cardinal: 15625 can be written as Fifteen thousand, six hundred twenty-five.

Scientific notation

  • Scientific notation: 1.5625 × 104

Factors of 15625

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 5

Divisors of 15625

  • Number of divisors d(n): 7
  • Complete list of divisors:
  • Sum of all divisors σ(n): 19531
  • Sum of proper divisors (its aliquot sum) s(n): 3906
  • 15625 is a deficient number, because the sum of its proper divisors (3906) is less than itself. Its deficiency is 11719

Bases of 15625

  • Binary: 111101000010012
  • Hexadecimal: 0x3D09
  • Base-36: C21

Squares and roots of 15625

  • 15625 squared (156252) is 244140625
  • 15625 cubed (156253) is 3814697265625
  • 15625 is a perfect square number. Its square root is 125
  • 15625 is a perfect cube number. Its cube root is 25
  • Being both a perfect square and a perfect cube, 15625 is also a perfect sixth number.

Scales and comparisons

How big is 15625?
  • 15,625 seconds is equal to 4 hours, 20 minutes, 25 seconds.
  • To count from 1 to 15,625 would take you about four 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 15625 cubic inches would be around 2.1 feet tall.

Recreational maths with 15625

  • 15625 backwards is 52651
  • The number of decimal digits it has is: 5
  • The sum of 15625's digits is 19
  • More coming soon!

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"Number 15625 - Facts about the integer". Numbermatics.com. 2024. Web. 22 July 2024.

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Numbermatics. (2024). Number 15625 - Facts about the integer. Retrieved 22 July 2024, from https://numbermatics.com/n/15625/

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Numbermatics. 2024. "Number 15625 - Facts about the integer". https://numbermatics.com/n/15625/

The information we have on file for 15625 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 15625, math, Factors of 15625, curriculum, school, college, exams, university, Prime factorization of 15625, STEM, science, technology, engineering, physics, economics, calculator, fifteen thousand, six hundred twenty-five.

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