825 is an odd composite number composed of three prime numbers multiplied together.

What does the number 825 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

825 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 825:

3 × 52 × 11

(3 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 825 from the Numbermatics database.

Names of 825

  • Cardinal: 825 can be written as Eight hundred twenty-five.

Scientific notation

  • Scientific notation: 8.25 × 102

Factors of 825

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 19

Divisors of 825

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1488
  • Sum of proper divisors (its aliquot sum) s(n): 663
  • 825 is a deficient number, because the sum of its proper divisors (663) is less than itself. Its deficiency is 162

Bases of 825

  • Binary: 11001110012
  • Hexadecimal: 0x339
  • Base-36: MX

Squares and roots of 825

  • 825 squared (8252) is 680625
  • 825 cubed (8253) is 561515625
  • The square root of 825 is 28.7228132327
  • The cube root of 825 is 9.3788872767

Scales and comparisons

How big is 825?
  • 825 seconds is equal to 13 minutes, 45 seconds.
  • To count from 1 to 825 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 825 cubic inches would be around 0.8 feet tall.

Recreational maths with 825

  • 825 backwards is 528
  • 825 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 825's digits is 15
  • More coming soon!

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"Number 825 - Facts about the integer". Numbermatics.com. 2023. Web. 31 March 2023.

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Numbermatics. (2023). Number 825 - Facts about the integer. Retrieved 31 March 2023, from https://numbermatics.com/n/825/

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The information we have on file for 825 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 825, math, Factors of 825, curriculum, school, college, exams, university, Prime factorization of 825, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-five.

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