1656

1,656 is an even composite number composed of three prime numbers multiplied together.

What does the number 1656 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

1656 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 1656:

23 × 32 × 23

(2 × 2 × 2 × 3 × 3 × 23)

See below for interesting mathematical facts about the number 1656 from the Numbermatics database.


Names of 1656

  • Cardinal: 1656 can be written as One thousand, six hundred fifty-six.

Scientific notation

  • Scientific notation: 1.656 × 103

Factors of 1656

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 28

Divisors of 1656

  • Number of divisors d(n): 24
  • Complete list of divisors:
  • Sum of all divisors σ(n): 4680
  • Sum of proper divisors (its aliquot sum) s(n): 3024
  • 1656 is an abundant number, because the sum of its proper divisors (3024) is greater than itself. Its abundance is 1368

Bases of 1656

  • Binary: 110011110002
  • Hexadecimal: 0x678
  • Base-36: 1A0

Squares and roots of 1656

  • 1656 squared (16562) is 2742336
  • 1656 cubed (16563) is 4541308416
  • The square root of 1656 is 40.6939798989
  • The cube root of 1656 is 11.8309633993

Scales and comparisons

How big is 1656?
  • 1,656 seconds is equal to 27 minutes, 36 seconds.
  • To count from 1 to 1,656 would take you about twenty-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 1656 cubic inches would be around 1 feet tall.

Recreational maths with 1656

  • 1656 backwards is 6561
  • 1656 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1656's digits is 18
  • More coming soon!

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The information we have on file for 1656 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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