2,002 is an even composite number composed of four prime numbers multiplied together.

What does the number 2002 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

2002 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 2002:

2 × 7 × 11 × 13

See below for interesting mathematical facts about the number 2002 from the Numbermatics database.

Names of 2002

  • Cardinal: 2002 can be written as Two thousand and two.

Scientific notation

  • Scientific notation: 2.002 × 103

Factors of 2002

  • Number of distinct prime factors ω(n): 4
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 33

Divisors of 2002

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 4032
  • Sum of proper divisors (its aliquot sum) s(n): 2030
  • 2002 is an abundant number, because the sum of its proper divisors (2030) is greater than itself. Its abundance is 28

Bases of 2002

  • Binary: 111110100102
  • Hexadecimal: 0x7D2
  • Base-36: 1JM

Squares and roots of 2002

  • 2002 squared (20022) is 4008004
  • 2002 cubed (20023) is 8024024008
  • The square root of 2002 is 44.7437146423
  • The cube root of 2002 is 12.6034088367

Scales and comparisons

How big is 2002?
  • 2,002 seconds is equal to 33 minutes, 22 seconds.
  • To count from 1 to 2,002 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 2002 cubic inches would be around 1.1 feet tall.

Recreational maths with 2002

  • 2002 is the same when its digits are reversed! That makes it a palindromic number.
  • The number of decimal digits it has is: 4
  • The sum of 2002's digits is 4
  • More coming soon!

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"Number 2002 - Facts about the integer". Numbermatics.com. 2021. Web. 2 August 2021.

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Numbermatics. (2021). Number 2002 - Facts about the integer. Retrieved 2 August 2021, from https://numbermatics.com/n/2002/

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The information we have on file for 2002 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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