5,625 is an odd composite number composed of two prime numbers multiplied together.

What does the number 5625 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 15 divisors.

5625 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fifteen divisors.

Prime factorization of 5625:

32 × 54

(3 × 3 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 5625 from the Numbermatics database.

Names of 5625

  • Cardinal: 5625 can be written as Five thousand, six hundred twenty-five.

Scientific notation

  • Scientific notation: 5.625 × 103

Factors of 5625

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 8

Divisors of 5625

  • Number of divisors d(n): 15
  • Complete list of divisors:
  • Sum of all divisors σ(n): 10153
  • Sum of proper divisors (its aliquot sum) s(n): 4528
  • 5625 is a deficient number, because the sum of its proper divisors (4528) is less than itself. Its deficiency is 1097

Bases of 5625

  • Binary: 10101111110012
  • Hexadecimal: 0x15F9
  • Base-36: 4C9

Squares and roots of 5625

  • 5625 squared (56252) is 31640625
  • 5625 cubed (56253) is 177978515625
  • 5625 is a perfect square number. Its square root is 75
  • The cube root of 5625 is 17.7844665225

Scales and comparisons

How big is 5625?
  • 5,625 seconds is equal to 1 hour, 33 minutes, 45 seconds.
  • To count from 1 to 5,625 would take you about thirty-three 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 5625 cubic inches would be around 1.5 feet tall.

Recreational maths with 5625

  • 5625 backwards is 5265
  • The number of decimal digits it has is: 4
  • The sum of 5625's digits is 18
  • More coming soon!

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"Number 5625 - Facts about the integer". Numbermatics.com. 2023. Web. 2 December 2023.

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Numbermatics. (2023). Number 5625 - Facts about the integer. Retrieved 2 December 2023, from https://numbermatics.com/n/5625/

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The information we have on file for 5625 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 5625, math, Factors of 5625, curriculum, school, college, exams, university, Prime factorization of 5625, STEM, science, technology, engineering, physics, economics, calculator, five thousand, six hundred twenty-five.

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