3,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 3144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

3144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 3144:

23 × 3 × 131

(2 × 2 × 2 × 3 × 131)

See below for interesting mathematical facts about the number 3144 from the Numbermatics database.

Names of 3144

  • Cardinal: 3144 can be written as Three thousand, one hundred forty-four.

Scientific notation

  • Scientific notation: 3.144 × 103

Factors of 3144

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 136

Divisors of 3144

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 7920
  • Sum of proper divisors (its aliquot sum) s(n): 4776
  • 3144 is an abundant number, because the sum of its proper divisors (4776) is greater than itself. Its abundance is 1632

Bases of 3144

  • Binary: 1100010010002
  • Hexadecimal: 0xC48
  • Base-36: 2FC

Squares and roots of 3144

  • 3144 squared (31442) is 9884736
  • 3144 cubed (31443) is 31077609984
  • The square root of 3144 is 56.0713830755
  • The cube root of 3144 is 14.6496588895

Scales and comparisons

How big is 3144?
  • 3,144 seconds is equal to 52 minutes, 24 seconds.
  • To count from 1 to 3,144 would take you about fifty-two 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 3144 cubic inches would be around 1.2 feet tall.

Recreational maths with 3144

  • 3144 backwards is 4413
  • 3144 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 3144's digits is 12
  • More coming soon!

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The information we have on file for 3144 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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