3952

3,952 is an even composite number composed of three prime numbers multiplied together.

What does the number 3952 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

3952 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

Prime factorization of 3952:

24 × 13 × 19

(2 × 2 × 2 × 2 × 13 × 19)

See below for interesting mathematical facts about the number 3952 from the Numbermatics database.


Names of 3952

  • Cardinal: 3952 can be written as Three thousand, nine hundred fifty-two.

Scientific notation

  • Scientific notation: 3.952 × 103

Factors of 3952

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 34

Divisors of 3952

  • Number of divisors d(n): 20
  • Complete list of divisors:
  • Sum of all divisors σ(n): 8680
  • Sum of proper divisors (its aliquot sum) s(n): 4728
  • 3952 is an abundant number, because the sum of its proper divisors (4728) is greater than itself. Its abundance is 776

Bases of 3952

  • Binary: 1111011100002
  • Hexadecimal: 0xF70
  • Base-36: 31S

Squares and roots of 3952

  • 3952 squared (39522) is 15618304
  • 3952 cubed (39523) is 61723537408
  • The square root of 3952 is 62.8649345821
  • The cube root of 3952 is 15.8102587865

Scales and comparisons

How big is 3952?
  • 3,952 seconds is equal to 1 hour, 5 minutes, 52 seconds.
  • To count from 1 to 3,952 would take you about five 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 3952 cubic inches would be around 1.3 feet tall.

Recreational maths with 3952

  • 3952 backwards is 2593
  • 3952 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 3952's digits is 19
  • More coming soon!

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"Number 3952 - Facts about the integer". Numbermatics.com. 2022. Web. 12 August 2022.

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Numbermatics. (2022). Number 3952 - Facts about the integer. Retrieved 12 August 2022, from https://numbermatics.com/n/3952/

Chicago style:
Numbermatics. 2022. "Number 3952 - Facts about the integer". https://numbermatics.com/n/3952/

The information we have on file for 3952 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!

Keywords: Divisors of 3952, math, Factors of 3952, curriculum, school, college, exams, university, Prime factorization of 3952, STEM, science, technology, engineering, physics, economics, calculator, three thousand, nine hundred fifty-two.

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