1938

1,938 is an even composite number composed of four prime numbers multiplied together.

What does the number 1938 look like?

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

1938 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 1938:

2 × 3 × 17 × 19

See below for interesting mathematical facts about the number 1938 from the Numbermatics database.


Names of 1938

  • Cardinal: 1938 can be written as One thousand, nine hundred thirty-eight.

Scientific notation

  • Scientific notation: 1.938 × 103

Factors of 1938

  • Number of distinct prime factors ω(n): 4
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 41

Divisors of 1938

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 4320
  • Sum of proper divisors (its aliquot sum) s(n): 2382
  • 1938 is an abundant number, because the sum of its proper divisors (2382) is greater than itself. Its abundance is 444

Bases of 1938

  • Binary: 111100100102
  • Hexadecimal: 0x792
  • Base-36: 1HU

Squares and roots of 1938

  • 1938 squared (19382) is 3755844
  • 1938 cubed (19383) is 7278825672
  • The square root of 1938 is 44.0227214061
  • The cube root of 1938 is 12.4676496821

Scales and comparisons

How big is 1938?
  • 1,938 seconds is equal to 32 minutes, 18 seconds.
  • To count from 1 to 1,938 would take you about thirty-two 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 1938 cubic inches would be around 1 feet tall.

Recreational maths with 1938

  • 1938 backwards is 8391
  • The number of decimal digits it has is: 4
  • The sum of 1938's digits is 21
  • More coming soon!

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"Number 1938 - Facts about the integer". Numbermatics.com. 2022. Web. 26 January 2022.

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Numbermatics. (2022). Number 1938 - Facts about the integer. Retrieved 26 January 2022, from https://numbermatics.com/n/1938/

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Numbermatics. 2022. "Number 1938 - Facts about the integer". https://numbermatics.com/n/1938/

The information we have on file for 1938 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!

Keywords: Divisors of 1938, math, Factors of 1938, curriculum, school, college, exams, university, Prime factorization of 1938, STEM, science, technology, engineering, physics, economics, calculator, one thousand, nine hundred thirty-eight.

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