3,825 is an odd composite number composed of three prime numbers multiplied together.

What does the number 3825 look like?

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

3825 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 3825:

32 × 52 × 17

(3 × 3 × 5 × 5 × 17)

See below for interesting mathematical facts about the number 3825 from the Numbermatics database.

Names of 3825

  • Cardinal: 3825 can be written as Three thousand, eight hundred twenty-five.

Scientific notation

  • Scientific notation: 3.825 × 103

Factors of 3825

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 25

Divisors of 3825

  • Number of divisors d(n): 18
  • Complete list of divisors:
  • Sum of all divisors σ(n): 7254
  • Sum of proper divisors (its aliquot sum) s(n): 3429
  • 3825 is a deficient number, because the sum of its proper divisors (3429) is less than itself. Its deficiency is 396

Bases of 3825

  • Binary: 1110111100012
  • Hexadecimal: 0xEF1
  • Base-36: 2Y9

Squares and roots of 3825

  • 3825 squared (38252) is 14630625
  • 3825 cubed (38253) is 55962140625
  • The square root of 3825 is 61.8465843843
  • The cube root of 3825 is 15.6390540219

Scales and comparisons

How big is 3825?
  • 3,825 seconds is equal to 1 hour, 3 minutes, 45 seconds.
  • To count from 1 to 3,825 would take you about three 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 3825 cubic inches would be around 1.3 feet tall.

Recreational maths with 3825

  • 3825 backwards is 5283
  • The number of decimal digits it has is: 4
  • The sum of 3825's digits is 18
  • More coming soon!

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The information we have on file for 3825 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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