5202

5,202 is an even composite number composed of three prime numbers multiplied together.

What does the number 5202 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

5202 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 5202:

2 × 32 × 172

(2 × 3 × 3 × 17 × 17)

See below for interesting mathematical facts about the number 5202 from the Numbermatics database.


Names of 5202

  • Cardinal: 5202 can be written as Five thousand, two hundred two.

Scientific notation

  • Scientific notation: 5.202 × 103

Factors of 5202

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 22

Divisors of 5202

  • Number of divisors d(n): 18
  • Complete list of divisors:
  • Sum of all divisors σ(n): 11973
  • Sum of proper divisors (its aliquot sum) s(n): 6771
  • 5202 is an abundant number, because the sum of its proper divisors (6771) is greater than itself. Its abundance is 1569

Bases of 5202

  • Binary: 10100010100102
  • Hexadecimal: 0x1452
  • Base-36: 40I

Squares and roots of 5202

  • 5202 squared (52022) is 27060804
  • 5202 cubed (52023) is 140770302408
  • The square root of 5202 is 72.1248916811
  • The cube root of 5202 is 17.3270029479

Scales and comparisons

How big is 5202?
  • 5,202 seconds is equal to 1 hour, 26 minutes, 42 seconds.
  • To count from 1 to 5,202 would take you about twenty-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 5202 cubic inches would be around 1.4 feet tall.

Recreational maths with 5202

  • 5202 backwards is 2025
  • 5202 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 5202's digits is 9
  • More coming soon!

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"Number 5202 - Facts about the integer". Numbermatics.com. 2020. Web. 25 November 2020.

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Numbermatics. (2020). Number 5202 - Facts about the integer. Retrieved 25 November 2020, from https://numbermatics.com/n/5202/

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The information we have on file for 5202 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!

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