2001

2,001 is an odd composite number composed of three prime numbers multiplied together.

What does the number 2001 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

2001 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

Prime factorization of 2001:

3 × 23 × 29

See below for interesting mathematical facts about the number 2001 from the Numbermatics database.


Names of 2001

  • Cardinal: 2001 can be written as Two thousand and one.

Scientific notation

  • Scientific notation: 2.001 × 103

Factors of 2001

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 55

Divisors of 2001

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2880
  • Sum of proper divisors (its aliquot sum) s(n): 879
  • 2001 is a deficient number, because the sum of its proper divisors (879) is less than itself. Its deficiency is 1122

Bases of 2001

  • Binary: 111110100012
  • Hexadecimal: 0x7D1
  • Base-36: 1JL

Squares and roots of 2001

  • 2001 squared (20012) is 4004001
  • 2001 cubed (20013) is 8012006001
  • The square root of 2001 is 44.7325384927
  • The cube root of 2001 is 12.6013100175

Scales and comparisons

How big is 2001?
  • 2,001 seconds is equal to 33 minutes, 21 seconds.
  • To count from 1 to 2,001 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 2001 cubic inches would be around 1.1 feet tall.

Recreational maths with 2001

  • 2001 backwards is 1002
  • 2001 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 2001's digits is 3
  • More coming soon!

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"Number 2001 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.

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Numbermatics. (2024). Number 2001 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/2001/

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The information we have on file for 2001 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 2001, math, Factors of 2001, curriculum, school, college, exams, university, Prime factorization of 2001, STEM, science, technology, engineering, physics, economics, calculator, two thousand and one.

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