2044

2,044 is an even composite number composed of three prime numbers multiplied together.

What does the number 2044 look like?

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

2044 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 2044:

22 × 7 × 73

(2 × 2 × 7 × 73)

See below for interesting mathematical facts about the number 2044 from the Numbermatics database.


Names of 2044

  • Cardinal: 2044 can be written as Two thousand and forty-four.

Scientific notation

  • Scientific notation: 2.044 × 103

Factors of 2044

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 82

Divisors of 2044

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 4144
  • Sum of proper divisors (its aliquot sum) s(n): 2100
  • 2044 is an abundant number, because the sum of its proper divisors (2100) is greater than itself. Its abundance is 56

Bases of 2044

  • Binary: 111111111002
  • Hexadecimal: 0x7FC
  • Base-36: 1KS

Squares and roots of 2044

  • 2044 squared (20442) is 4177936
  • 2044 cubed (20443) is 8539701184
  • The square root of 2044 is 45.2106182219
  • The cube root of 2044 is 12.6909353135

Scales and comparisons

How big is 2044?
  • 2,044 seconds is equal to 34 minutes, 4 seconds.
  • To count from 1 to 2,044 would take you about thirty-four 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 2044 cubic inches would be around 1.1 feet tall.

Recreational maths with 2044

  • 2044 backwards is 4402
  • The number of decimal digits it has is: 4
  • The sum of 2044's digits is 10
  • More coming soon!

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"Number 2044 - Facts about the integer". Numbermatics.com. 2020. Web. 20 February 2020.

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The information we have on file for 2044 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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