1125

1,125 is an odd composite number composed of two prime numbers multiplied together.

What does the number 1125 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

1125 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 1125:

32 × 53

(3 × 3 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 1125 from the Numbermatics database.

Quick links:
Names Factors Divisors Scales Roots Fun

Names of 1125

  • Cardinal: 1125 can be written as One thousand, one hundred twenty-five.

Scientific notation

  • Scientific notation: 1.125 × 103

Factors of 1125

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 8

Divisors of 1125

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2028
  • Sum of proper divisors (its aliquot sum) s(n): 903
  • 1125 is a deficient number, because the sum of its proper divisors (903) is less than itself. Its deficiency is 222

Bases of 1125

  • Binary: 100011001012
  • Hexadecimal: 0x465
  • Base-36: V9

Squares and roots of 1125

  • 1125 squared (11252) is 1265625
  • 1125 cubed (11253) is 1423828125
  • The square root of 1125 is 33.5410196625
  • The cube root of 1125 is 10.4004191153

Scales and comparisons

How big is 1125?
  • 1,125 seconds is equal to 18 minutes, 45 seconds.
  • To count from 1 to 1,125 would take you about eighteen 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 1125 cubic inches would be around 0.9 feet tall.

Recreational maths with 1125

  • 1125 backwards is 5211
  • 1125 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1125's digits is 9
  • More coming soon!

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The information we have on file for 1125 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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