19937

19,937 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 19937 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

19937 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 19937:

19937

See below for interesting mathematical facts about the number 19937 from the Numbermatics database.


Names of 19937

  • Cardinal: 19937 can be written as Nineteen thousand, nine hundred thirty-seven.

Scientific notation

  • Scientific notation: 1.9937 × 104

Factors of 19937

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 19937

Divisors of 19937

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 19938
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 19937 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 19936

Bases of 19937

  • Binary: 1001101111000012
  • Hexadecimal: 0x4DE1
  • Base-36: FDT

Squares and roots of 19937

  • 19937 squared (199372) is 397483969
  • 19937 cubed (199373) is 7924637889953
  • The square root of 19937 is 141.1984419177
  • The cube root of 19937 is 27.1156448021

Scales and comparisons

How big is 19937?
  • 19,937 seconds is equal to 5 hours, 32 minutes, 17 seconds.
  • To count from 1 to 19,937 would take you about five 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 19937 cubic inches would be around 2.3 feet tall.

Recreational maths with 19937

  • 19937 backwards is 73991
  • The number of decimal digits it has is: 5
  • The sum of 19937's digits is 29
  • More coming soon!

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"Number 19937 - Facts about the integer". Numbermatics.com. 2024. Web. 29 March 2024.

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Numbermatics. (2024). Number 19937 - Facts about the integer. Retrieved 29 March 2024, from https://numbermatics.com/n/19937/

Chicago style:
Numbermatics. 2024. "Number 19937 - Facts about the integer". https://numbermatics.com/n/19937/

The information we have on file for 19937 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 19937, math, Factors of 19937, curriculum, school, college, exams, university, Prime factorization of 19937, STEM, science, technology, engineering, physics, economics, calculator, nineteen thousand, nine hundred thirty-seven.

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