5624

5,624 is an even composite number composed of three prime numbers multiplied together.

What does the number 5624 look like?

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

5624 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 5624:

23 × 19 × 37

(2 × 2 × 2 × 19 × 37)

See below for interesting mathematical facts about the number 5624 from the Numbermatics database.


Names of 5624

  • Cardinal: 5624 can be written as Five thousand, six hundred twenty-four.

Scientific notation

  • Scientific notation: 5.624 × 103

Factors of 5624

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 58

Divisors of 5624

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 11400
  • Sum of proper divisors (its aliquot sum) s(n): 5776
  • 5624 is an abundant number, because the sum of its proper divisors (5776) is greater than itself. Its abundance is 152

Bases of 5624

  • Binary: 10101111110002
  • Hexadecimal: 0x15F8
  • Base-36: 4C8

Squares and roots of 5624

  • 5624 squared (56242) is 31629376
  • 5624 cubed (56243) is 177883610624
  • The square root of 5624 is 74.9933330371
  • The cube root of 5624 is 17.7834125657

Scales and comparisons

How big is 5624?
  • 5,624 seconds is equal to 1 hour, 33 minutes, 44 seconds.
  • To count from 1 to 5,624 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 5624 cubic inches would be around 1.5 feet tall.

Recreational maths with 5624

  • 5624 backwards is 4265
  • The number of decimal digits it has is: 4
  • The sum of 5624's digits is 17
  • More coming soon!

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"Number 5624 - Facts about the integer". Numbermatics.com. 2024. Web. 25 April 2024.

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Numbermatics. (2024). Number 5624 - Facts about the integer. Retrieved 25 April 2024, from https://numbermatics.com/n/5624/

Chicago style:
Numbermatics. 2024. "Number 5624 - Facts about the integer". https://numbermatics.com/n/5624/

The information we have on file for 5624 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 5624, math, Factors of 5624, curriculum, school, college, exams, university, Prime factorization of 5624, STEM, science, technology, engineering, physics, economics, calculator, five thousand, six hundred twenty-four.

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