945 is an odd composite number composed of three prime numbers multiplied together.

What does the number 945 look like?

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

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

Prime factorization of 945:

33 × 5 × 7

(3 × 3 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 945 from the Numbermatics database.

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Names Factors Divisors Scales Roots Fun

Names of 945

  • Cardinal: 945 can be written as Nine hundred forty-five.

Scientific notation

  • Scientific notation: 9.45 × 102

Factors of 945

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 15

Divisors of 945

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1920
  • Sum of proper divisors (its aliquot sum) s(n): 975
  • 945 is an abundant number, because the sum of its proper divisors (975) is greater than itself. Its abundance is 30

Bases of 945

  • Binary: 11101100012
  • Hexadecimal: 0x3B1
  • Base-36: Q9

Squares and roots of 945

  • 945 squared (9452) is 893025
  • 945 cubed (9453) is 843908625
  • The square root of 945 is 30.7408522979
  • The cube root of 945 is 9.8131989305

Scales and comparisons

How big is 945?
  • 945 seconds is equal to 15 minutes, 45 seconds.
  • To count from 1 to 945 would take you about 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 945 cubic inches would be around 0.8 feet tall.

Recreational maths with 945

  • 945 backwards is 549
  • The number of decimal digits it has is: 3
  • The sum of 945's digits is 18
  • More coming soon!

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The information we have on file for 945 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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