3997

3,997 is an odd composite number composed of two prime numbers multiplied together.

What does the number 3997 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

3997 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

Prime factorization of 3997:

7 × 571

See below for interesting mathematical facts about the number 3997 from the Numbermatics database.


Names of 3997

  • Cardinal: 3997 can be written as Three thousand, nine hundred ninety-seven.

Scientific notation

  • Scientific notation: 3.997 × 103

Factors of 3997

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 2
  • Sum of prime factors: 578

Divisors of 3997

  • Number of divisors d(n): 4
  • Complete list of divisors:
  • Sum of all divisors σ(n): 4576
  • Sum of proper divisors (its aliquot sum) s(n): 579
  • 3997 is a deficient number, because the sum of its proper divisors (579) is less than itself. Its deficiency is 3418

Bases of 3997

  • Binary: 1111100111012
  • Hexadecimal: 0xF9D
  • Base-36: 331

Squares and roots of 3997

  • 3997 squared (39972) is 15976009
  • 3997 cubed (39973) is 63856107973
  • The square root of 3997 is 63.2218316723
  • The cube root of 3997 is 15.8700410245

Scales and comparisons

How big is 3997?
  • 3,997 seconds is equal to 1 hour, 6 minutes, 37 seconds.
  • To count from 1 to 3,997 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 3997 cubic inches would be around 1.3 feet tall.

Recreational maths with 3997

  • 3997 backwards is 7993
  • The number of decimal digits it has is: 4
  • The sum of 3997's digits is 28
  • More coming soon!

Copy this link to share with anyone:


Share this page on social media:

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 3997 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.

APA style:
Numbermatics. (2024). Number 3997 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/3997/

Chicago style:
Numbermatics. 2024. "Number 3997 - Facts about the integer". https://numbermatics.com/n/3997/

The information we have on file for 3997 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 3997, math, Factors of 3997, curriculum, school, college, exams, university, Prime factorization of 3997, STEM, science, technology, engineering, physics, economics, calculator, three thousand, nine hundred ninety-seven.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.