2004

2,004 is an even composite number composed of three prime numbers multiplied together.

What does the number 2004 look like?

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

2004 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 2004:

22 × 3 × 167

(2 × 2 × 3 × 167)

See below for interesting mathematical facts about the number 2004 from the Numbermatics database.


Names of 2004

  • Cardinal: 2004 can be written as Two thousand and four.

Scientific notation

  • Scientific notation: 2.004 × 103

Factors of 2004

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 172

Divisors of 2004

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 4704
  • Sum of proper divisors (its aliquot sum) s(n): 2700
  • 2004 is an abundant number, because the sum of its proper divisors (2700) is greater than itself. Its abundance is 696

Bases of 2004

  • Binary: 111110101002
  • Hexadecimal: 0x7D4
  • Base-36: 1JO

Squares and roots of 2004

  • 2004 squared (20042) is 4016016
  • 2004 cubed (20043) is 8048096064
  • The square root of 2004 is 44.7660585711
  • The cube root of 2004 is 12.6076043791

Scales and comparisons

How big is 2004?
  • 2,004 seconds is equal to 33 minutes, 24 seconds.
  • To count from 1 to 2,004 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 2004 cubic inches would be around 1.1 feet tall.

Recreational maths with 2004

  • 2004 backwards is 4002
  • 2004 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 2004's digits is 6
  • More coming soon!

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"Number 2004 - Facts about the integer". Numbermatics.com. 2020. Web. 5 July 2020.

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Numbermatics. (2020). Number 2004 - Facts about the integer. Retrieved 5 July 2020, from https://numbermatics.com/n/2004/

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Numbermatics. 2020. "Number 2004 - Facts about the integer". https://numbermatics.com/n/2004/

The information we have on file for 2004 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!

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