13,038 is an even composite number composed of four prime numbers multiplied together.

What does the number 13038 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

13038 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 13038:

2 × 3 × 41 × 53

See below for interesting mathematical facts about the number 13038 from the Numbermatics database.

Names of 13038

  • Cardinal: 13038 can be written as Thirteen thousand and thirty-eight.

Scientific notation

  • Scientific notation: 1.3038 × 104

Factors of 13038

  • Number of distinct prime factors ω(n): 4
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 99

Divisors of 13038

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 27216
  • Sum of proper divisors (its aliquot sum) s(n): 14178
  • 13038 is an abundant number, because the sum of its proper divisors (14178) is greater than itself. Its abundance is 1140

Bases of 13038

  • Binary: 110010111011102
  • Hexadecimal: 0x32EE
  • Base-36: A26

Squares and roots of 13038

  • 13038 squared (130382) is 169989444
  • 13038 cubed (130383) is 2216322370872
  • The square root of 13038 is 114.1840619351
  • The cube root of 13038 is 23.5362350309

Scales and comparisons

How big is 13038?
  • 13,038 seconds is equal to 3 hours, 37 minutes, 18 seconds.
  • To count from 1 to 13,038 would take you about three hours.

    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 13038 cubic inches would be around 2 feet tall.

Recreational maths with 13038

  • 13038 backwards is 83031
  • The number of decimal digits it has is: 5
  • The sum of 13038's digits is 15
  • More coming soon!

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The information we have on file for 13038 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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