17,968 is an even composite number composed of two prime numbers multiplied together.

What does the number 17968 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

17968 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

Prime factorization of 17968:

24 × 1123

(2 × 2 × 2 × 2 × 1123)

See below for interesting mathematical facts about the number 17968 from the Numbermatics database.

Names of 17968

  • Cardinal: 17968 can be written as Seventeen thousand, nine hundred sixty-eight.

Scientific notation

  • Scientific notation: 1.7968 × 104

Factors of 17968

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 1125

Divisors of 17968

  • Number of divisors d(n): 10
  • Complete list of divisors:
  • Sum of all divisors σ(n): 34844
  • Sum of proper divisors (its aliquot sum) s(n): 16876
  • 17968 is a deficient number, because the sum of its proper divisors (16876) is less than itself. Its deficiency is 1092

Bases of 17968

  • Binary: 1000110001100002
  • Hexadecimal: 0x4630
  • Base-36: DV4

Squares and roots of 17968

  • 17968 squared (179682) is 322849024
  • 17968 cubed (179683) is 5800951263232
  • The square root of 17968 is 134.0447686409
  • The cube root of 17968 is 26.1918744105

Scales and comparisons

How big is 17968?
  • 17,968 seconds is equal to 4 hours, 59 minutes, 28 seconds.
  • To count from 1 to 17,968 would take you about four hours.

    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 17968 cubic inches would be around 2.2 feet tall.

Recreational maths with 17968

  • 17968 backwards is 86971
  • The number of decimal digits it has is: 5
  • The sum of 17968's digits is 31
  • More coming soon!

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The information we have on file for 17968 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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