3968

3,968 is an even composite number composed of two prime numbers multiplied together.

What does the number 3968 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 16 divisors.

3968 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 3968:

27 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 31)

See below for interesting mathematical facts about the number 3968 from the Numbermatics database.


Names of 3968

  • Cardinal: 3968 can be written as Three thousand, nine hundred sixty-eight.

Scientific notation

  • Scientific notation: 3.968 × 103

Factors of 3968

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 8
  • Sum of prime factors: 33

Divisors of 3968

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 8160
  • Sum of proper divisors (its aliquot sum) s(n): 4192
  • 3968 is an abundant number, because the sum of its proper divisors (4192) is greater than itself. Its abundance is 224

Bases of 3968

  • Binary: 1111100000002
  • Hexadecimal: 0xF80
  • Base-36: 328

Squares and roots of 3968

  • 3968 squared (39682) is 15745024
  • 3968 cubed (39683) is 62476255232
  • The square root of 3968 is 62.9920629921
  • The cube root of 3968 is 15.8315664387

Scales and comparisons

How big is 3968?
  • 3,968 seconds is equal to 1 hour, 6 minutes, 8 seconds.
  • To count from 1 to 3,968 would take you about six 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 3968 cubic inches would be around 1.3 feet tall.

Recreational maths with 3968

  • 3968 backwards is 8693
  • The number of decimal digits it has is: 4
  • The sum of 3968's digits is 26
  • More coming soon!

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The information we have on file for 3968 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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