3972

3,972 is an even composite number composed of three prime numbers multiplied together.

What does the number 3972 look like?

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

3972 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 3972:

22 × 3 × 331

(2 × 2 × 3 × 331)

See below for interesting mathematical facts about the number 3972 from the Numbermatics database.


Names of 3972

  • Cardinal: 3972 can be written as Three thousand, nine hundred seventy-two.

Scientific notation

  • Scientific notation: 3.972 × 103

Factors of 3972

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 336

Divisors of 3972

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 9296
  • Sum of proper divisors (its aliquot sum) s(n): 5324
  • 3972 is an abundant number, because the sum of its proper divisors (5324) is greater than itself. Its abundance is 1352

Bases of 3972

  • Binary: 1111100001002
  • Hexadecimal: 0xF84
  • Base-36: 32C

Squares and roots of 3972

  • 3972 squared (39722) is 15776784
  • 3972 cubed (39723) is 62665386048
  • The square root of 3972 is 63.0238050263
  • The cube root of 3972 is 15.8368843989

Scales and comparisons

How big is 3972?
  • 3,972 seconds is equal to 1 hour, 6 minutes, 12 seconds.
  • To count from 1 to 3,972 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 3972 cubic inches would be around 1.3 feet tall.

Recreational maths with 3972

  • 3972 backwards is 2793
  • The number of decimal digits it has is: 4
  • The sum of 3972's digits is 21
  • More coming soon!

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 3972 - Facts about the integer". Numbermatics.com. 2020. Web. 11 August 2020.

APA style:
Numbermatics. (2020). Number 3972 - Facts about the integer. Retrieved 11 August 2020, from https://numbermatics.com/n/3972/

Chicago style:
Numbermatics. 2020. "Number 3972 - Facts about the integer". https://numbermatics.com/n/3972/

The information we have on file for 3972 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 3972, math, Factors of 3972, curriculum, school, college, exams, university, Prime factorization of 3972, STEM, science, technology, engineering, physics, economics, calculator, three thousand, nine hundred seventy-two.