5004

5,004 is an even composite number composed of three prime numbers multiplied together.

What does the number 5004 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

5004 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 5004:

22 × 32 × 139

(2 × 2 × 3 × 3 × 139)

See below for interesting mathematical facts about the number 5004 from the Numbermatics database.


Names of 5004

  • Cardinal: 5004 can be written as Five thousand and four.

Scientific notation

  • Scientific notation: 5.004 × 103

Factors of 5004

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 144

Divisors of 5004

  • Number of divisors d(n): 18
  • Complete list of divisors:
  • Sum of all divisors σ(n): 12740
  • Sum of proper divisors (its aliquot sum) s(n): 7736
  • 5004 is an abundant number, because the sum of its proper divisors (7736) is greater than itself. Its abundance is 2732

Bases of 5004

  • Binary: 10011100011002
  • Hexadecimal: 0x138C
  • Base-36: 3V0

Squares and roots of 5004

  • 5004 squared (50042) is 25040016
  • 5004 cubed (50043) is 125300240064
  • The square root of 5004 is 70.7389567353
  • The cube root of 5004 is 17.1043181871

Scales and comparisons

How big is 5004?
  • 5,004 seconds is equal to 1 hour, 23 minutes, 24 seconds.
  • To count from 1 to 5,004 would take you about twenty-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 5004 cubic inches would be around 1.4 feet tall.

Recreational maths with 5004

  • 5004 backwards is 4005
  • 5004 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 5004's digits is 9
  • More coming soon!

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"Number 5004 - Facts about the integer". Numbermatics.com. 2022. Web. 20 January 2022.

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Numbermatics. (2022). Number 5004 - Facts about the integer. Retrieved 20 January 2022, from https://numbermatics.com/n/5004/

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The information we have on file for 5004 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 5004, math, Factors of 5004, curriculum, school, college, exams, university, Prime factorization of 5004, STEM, science, technology, engineering, physics, economics, calculator, five thousand and four.

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