1504

1,504 is an even composite number composed of two prime numbers multiplied together.

What does the number 1504 look like?

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

1504 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 1504:

25 × 47

(2 × 2 × 2 × 2 × 2 × 47)

See below for interesting mathematical facts about the number 1504 from the Numbermatics database.


Names of 1504

  • Cardinal: 1504 can be written as One thousand, five hundred four.

Scientific notation

  • Scientific notation: 1.504 × 103

Factors of 1504

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 49

Divisors of 1504

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3024
  • Sum of proper divisors (its aliquot sum) s(n): 1520
  • 1504 is an abundant number, because the sum of its proper divisors (1520) is greater than itself. Its abundance is 16

Bases of 1504

  • Binary: 101111000002
  • Hexadecimal: 0x5E0
  • Base-36: 15S

Squares and roots of 1504

  • 1504 squared (15042) is 2262016
  • 1504 cubed (15043) is 3402072064
  • The square root of 1504 is 38.7814388593
  • The cube root of 1504 is 11.4573086319

Scales and comparisons

How big is 1504?
  • 1,504 seconds is equal to 25 minutes, 4 seconds.
  • To count from 1 to 1,504 would take you about twenty-five 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 1504 cubic inches would be around 1 feet tall.

Recreational maths with 1504

  • 1504 backwards is 4051
  • The number of decimal digits it has is: 4
  • The sum of 1504's digits is 10
  • More coming soon!

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"Number 1504 - Facts about the integer". Numbermatics.com. 2021. Web. 20 June 2021.

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The information we have on file for 1504 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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