4044

4,044 is an even composite number composed of three prime numbers multiplied together.

What does the number 4044 look like?

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

4044 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 4044:

22 × 3 × 337

(2 × 2 × 3 × 337)

See below for interesting mathematical facts about the number 4044 from the Numbermatics database.


Names of 4044

  • Cardinal: 4044 can be written as Four thousand and forty-four.

Scientific notation

  • Scientific notation: 4.044 × 103

Factors of 4044

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 342

Divisors of 4044

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 9464
  • Sum of proper divisors (its aliquot sum) s(n): 5420
  • 4044 is an abundant number, because the sum of its proper divisors (5420) is greater than itself. Its abundance is 1376

Bases of 4044

  • Binary: 1111110011002
  • Hexadecimal: 0xFCC
  • Base-36: 34C

Squares and roots of 4044

  • 4044 squared (40442) is 16353936
  • 4044 cubed (40443) is 66135317184
  • The square root of 4044 is 63.5924523823
  • The cube root of 4044 is 15.9320031023

Scales and comparisons

How big is 4044?
  • 4,044 seconds is equal to 1 hour, 7 minutes, 24 seconds.
  • To count from 1 to 4,044 would take you about seven 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 4044 cubic inches would be around 1.3 feet tall.

Recreational maths with 4044

  • 4044 backwards is 4404
  • 4044 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 4044's digits is 12
  • More coming soon!

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"Number 4044 - Facts about the integer". Numbermatics.com. 2021. Web. 28 October 2021.

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Numbermatics. (2021). Number 4044 - Facts about the integer. Retrieved 28 October 2021, from https://numbermatics.com/n/4044/

Chicago style:
Numbermatics. 2021. "Number 4044 - Facts about the integer". https://numbermatics.com/n/4044/

The information we have on file for 4044 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 4044, math, Factors of 4044, curriculum, school, college, exams, university, Prime factorization of 4044, STEM, science, technology, engineering, physics, economics, calculator, four thousand and forty-four.

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