3,993 is an odd composite number composed of two prime numbers multiplied together.

What does the number 3993 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

3993 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

Prime factorization of 3993:

3 × 113

(3 × 11 × 11 × 11)

See below for interesting mathematical facts about the number 3993 from the Numbermatics database.

Names of 3993

  • Cardinal: 3993 can be written as Three thousand, nine hundred ninety-three.

Scientific notation

  • Scientific notation: 3.993 × 103

Factors of 3993

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 14

Divisors of 3993

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 5856
  • Sum of proper divisors (its aliquot sum) s(n): 1863
  • 3993 is a deficient number, because the sum of its proper divisors (1863) is less than itself. Its deficiency is 2130

Bases of 3993

  • Binary: 1111100110012
  • Hexadecimal: 0xF99
  • Base-36: 32X

Squares and roots of 3993

  • 3993 squared (39932) is 15944049
  • 3993 cubed (39933) is 63664587657
  • The square root of 3993 is 63.1901891119
  • The cube root of 3993 is 15.8647452733

Scales and comparisons

How big is 3993?
  • 3,993 seconds is equal to 1 hour, 6 minutes, 33 seconds.
  • To count from 1 to 3,993 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 3993 cubic inches would be around 1.3 feet tall.

Recreational maths with 3993

  • 3993 is the same when its digits are reversed! That makes it a palindromic number.
  • The number of decimal digits it has is: 4
  • The sum of 3993's digits is 24
  • More coming soon!

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"Number 3993 - Facts about the integer". Numbermatics.com. 2024. Web. 24 July 2024.

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Numbermatics. (2024). Number 3993 - Facts about the integer. Retrieved 24 July 2024, from https://numbermatics.com/n/3993/

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The information we have on file for 3993 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 3993, math, Factors of 3993, curriculum, school, college, exams, university, Prime factorization of 3993, STEM, science, technology, engineering, physics, economics, calculator, three thousand, nine hundred ninety-three.

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