13802

13,802 is an even composite number composed of three prime numbers multiplied together.

What does the number 13802 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

13802 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

Prime factorization of 13802:

2 × 67 × 103

See below for interesting mathematical facts about the number 13802 from the Numbermatics database.


Names of 13802

  • Cardinal: 13802 can be written as Thirteen thousand, eight hundred two.

Scientific notation

  • Scientific notation: 1.3802 × 104

Factors of 13802

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 172

Divisors of 13802

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 21216
  • Sum of proper divisors (its aliquot sum) s(n): 7414
  • 13802 is a deficient number, because the sum of its proper divisors (7414) is less than itself. Its deficiency is 6388

Bases of 13802

  • Binary: 110101111010102
  • Hexadecimal: 0x35EA
  • Base-36: ANE

Squares and roots of 13802

  • 13802 squared (138022) is 190495204
  • 13802 cubed (138023) is 2629214805608
  • The square root of 13802 is 117.4819135017
  • The cube root of 13802 is 23.9872617587

Scales and comparisons

How big is 13802?
  • 13,802 seconds is equal to 3 hours, 50 minutes, 2 seconds.
  • To count from 1 to 13,802 would take you about three hours.

    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 13802 cubic inches would be around 2 feet tall.

Recreational maths with 13802

  • 13802 backwards is 20831
  • The number of decimal digits it has is: 5
  • The sum of 13802's digits is 14
  • More coming soon!

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"Number 13802 - Facts about the integer". Numbermatics.com. 2024. Web. 23 April 2024.

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Numbermatics. (2024). Number 13802 - Facts about the integer. Retrieved 23 April 2024, from https://numbermatics.com/n/13802/

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The information we have on file for 13802 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 13802, math, Factors of 13802, curriculum, school, college, exams, university, Prime factorization of 13802, STEM, science, technology, engineering, physics, economics, calculator, thirteen thousand, eight hundred two.

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