12588

12,588 is an even composite number composed of three prime numbers multiplied together.

What does the number 12588 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

12588 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 12588:

22 × 3 × 1049

(2 × 2 × 3 × 1049)

See below for interesting mathematical facts about the number 12588 from the Numbermatics database.


Names of 12588

  • Cardinal: 12588 can be written as Twelve thousand, five hundred eighty-eight.

Scientific notation

  • Scientific notation: 1.2588 × 104

Factors of 12588

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 1054

Divisors of 12588

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 29400
  • Sum of proper divisors (its aliquot sum) s(n): 16812
  • 12588 is an abundant number, because the sum of its proper divisors (16812) is greater than itself. Its abundance is 4224

Bases of 12588

  • Binary: 110001001011002
  • Hexadecimal: 0x312C
  • Base-36: 9PO

Squares and roots of 12588

  • 12588 squared (125882) is 158457744
  • 12588 cubed (125883) is 1994666081472
  • The square root of 12588 is 112.1962566221
  • The cube root of 12588 is 23.2622781721

Scales and comparisons

How big is 12588?
  • 12,588 seconds is equal to 3 hours, 29 minutes, 48 seconds.
  • To count from 1 to 12,588 would take you about three 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 12588 cubic inches would be around 1.9 feet tall.

Recreational maths with 12588

  • 12588 backwards is 88521
  • The number of decimal digits it has is: 5
  • The sum of 12588's digits is 24
  • More coming soon!

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"Number 12588 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.

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Numbermatics. (2024). Number 12588 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/12588/

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Numbermatics. 2024. "Number 12588 - Facts about the integer". https://numbermatics.com/n/12588/

The information we have on file for 12588 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 12588, math, Factors of 12588, curriculum, school, college, exams, university, Prime factorization of 12588, STEM, science, technology, engineering, physics, economics, calculator, twelve thousand, five hundred eighty-eight.

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