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

What does the number 993 look like?

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

993 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 993:

3 × 331

See below for interesting mathematical facts about the number 993 from the Numbermatics database.

Names of 993

  • Cardinal: 993 can be written as Nine hundred ninety-three.

Scientific notation

  • Scientific notation: 9.93 × 102

Factors of 993

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 2
  • Sum of prime factors: 334

Divisors of 993

  • Number of divisors d(n): 4
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1328
  • Sum of proper divisors (its aliquot sum) s(n): 335
  • 993 is a deficient number, because the sum of its proper divisors (335) is less than itself. Its deficiency is 658

Bases of 993

  • Binary: 11111000012
  • Hexadecimal: 0x3E1
  • Base-36: RL

Squares and roots of 993

  • 993 squared (9932) is 986049
  • 993 cubed (9933) is 979146657
  • The square root of 993 is 31.5119025131
  • The cube root of 993 is 9.9766120095

Scales and comparisons

How big is 993?
  • 993 seconds is equal to 16 minutes, 33 seconds.
  • To count from 1 to 993 would take you about eight 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 993 cubic inches would be around 0.8 feet tall.

Recreational maths with 993

  • 993 backwards is 399
  • The number of decimal digits it has is: 3
  • The sum of 993's digits is 21
  • More coming soon!

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"Number 993 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

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Numbermatics. (2023). Number 993 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/993/

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Numbermatics. 2023. "Number 993 - Facts about the integer". https://numbermatics.com/n/993/

The information we have on file for 993 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 993, math, Factors of 993, curriculum, school, college, exams, university, Prime factorization of 993, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety-three.

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