1038

1,038 is an even composite number composed of three prime numbers multiplied together.

What does the number 1038 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1038 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

Prime factorization of 1038:

2 × 3 × 173

See below for interesting mathematical facts about the number 1038 from the Numbermatics database.


Names of 1038

  • Cardinal: 1038 can be written as One thousand and thirty-eight.

Scientific notation

  • Scientific notation: 1.038 × 103

Factors of 1038

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 178

Divisors of 1038

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2088
  • Sum of proper divisors (its aliquot sum) s(n): 1050
  • 1038 is an abundant number, because the sum of its proper divisors (1050) is greater than itself. Its abundance is 12

Bases of 1038

  • Binary: 100000011102
  • Hexadecimal: 0x40E
  • Base-36: SU

Squares and roots of 1038

  • 1038 squared (10382) is 1077444
  • 1038 cubed (10383) is 1118386872
  • The square root of 1038 is 32.2180073871
  • The cube root of 1038 is 10.1250952589

Scales and comparisons

How big is 1038?
  • 1,038 seconds is equal to 17 minutes, 18 seconds.
  • To count from 1 to 1,038 would take you about seventeen 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 1038 cubic inches would be around 0.8 feet tall.

Recreational maths with 1038

  • 1038 backwards is 8301
  • The number of decimal digits it has is: 4
  • The sum of 1038's digits is 12
  • More coming soon!

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The information we have on file for 1038 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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