1953

1,953 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1953 look like?

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

1953 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 1953:

32 × 7 × 31

(3 × 3 × 7 × 31)

See below for interesting mathematical facts about the number 1953 from the Numbermatics database.


Names of 1953

  • Cardinal: 1953 can be written as One thousand, nine hundred fifty-three.

Scientific notation

  • Scientific notation: 1.953 × 103

Factors of 1953

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 41

Divisors of 1953

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3328
  • Sum of proper divisors (its aliquot sum) s(n): 1375
  • 1953 is a deficient number, because the sum of its proper divisors (1375) is less than itself. Its deficiency is 578

Bases of 1953

  • Binary: 111101000012
  • Hexadecimal: 0x7A1
  • Base-36: 1I9

Squares and roots of 1953

  • 1953 squared (19532) is 3814209
  • 1953 cubed (19533) is 7449150177
  • The square root of 1953 is 44.1927595879
  • The cube root of 1953 is 12.4997333277

Scales and comparisons

How big is 1953?
  • 1,953 seconds is equal to 32 minutes, 33 seconds.
  • To count from 1 to 1,953 would take you about thirty-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 1953 cubic inches would be around 1 feet tall.

Recreational maths with 1953

  • 1953 backwards is 3591
  • The number of decimal digits it has is: 4
  • The sum of 1953's digits is 18
  • More coming soon!

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The information we have on file for 1953 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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