20004

20,004 is an even composite number composed of three prime numbers multiplied together.

What does the number 20004 look like?

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

20004 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 20004:

22 × 3 × 1667

(2 × 2 × 3 × 1667)

See below for interesting mathematical facts about the number 20004 from the Numbermatics database.


Names of 20004

  • Cardinal: 20004 can be written as Twenty thousand and four.

Scientific notation

  • Scientific notation: 2.0004 × 104

Factors of 20004

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 1672

Divisors of 20004

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 46704
  • Sum of proper divisors (its aliquot sum) s(n): 26700
  • 20004 is an abundant number, because the sum of its proper divisors (26700) is greater than itself. Its abundance is 6696

Bases of 20004

  • Binary: 1001110001001002
  • Hexadecimal: 0x4E24
  • Base-36: FFO

Squares and roots of 20004

  • 20004 squared (200042) is 400160016
  • 20004 cubed (200043) is 8004800960064
  • The square root of 20004 is 141.4354976659
  • The cube root of 20004 is 27.1459856569

Scales and comparisons

How big is 20004?
  • 20,004 seconds is equal to 5 hours, 33 minutes, 24 seconds.
  • To count from 1 to 20,004 would take you about five 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 20004 cubic inches would be around 2.3 feet tall.

Recreational maths with 20004

  • 20004 backwards is 40002
  • 20004 is a Harshad number.
  • The number of decimal digits it has is: 5
  • The sum of 20004's digits is 6
  • More coming soon!

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"Number 20004 - Facts about the integer". Numbermatics.com. 2025. Web. 10 November 2025.

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Numbermatics. (2025). Number 20004 - Facts about the integer. Retrieved 10 November 2025, from https://numbermatics.com/n/20004/

Chicago style:
Numbermatics. 2025. "Number 20004 - Facts about the integer". https://numbermatics.com/n/20004/

The information we have on file for 20004 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 20004, math, Factors of 20004, curriculum, school, college, exams, university, Prime factorization of 20004, STEM, science, technology, engineering, physics, economics, calculator, twenty thousand and four.

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