1538

1,538 is an even composite number composed of two prime numbers multiplied together.

What does the number 1538 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

1538 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

Prime factorization of 1538:

2 × 769

See below for interesting mathematical facts about the number 1538 from the Numbermatics database.


Names of 1538

  • Cardinal: 1538 can be written as One thousand, five hundred thirty-eight.

Scientific notation

  • Scientific notation: 1.538 × 103

Factors of 1538

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 2
  • Sum of prime factors: 771

Divisors of 1538

  • Number of divisors d(n): 4
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2310
  • Sum of proper divisors (its aliquot sum) s(n): 772
  • 1538 is a deficient number, because the sum of its proper divisors (772) is less than itself. Its deficiency is 766

Bases of 1538

  • Binary: 110000000102
  • Hexadecimal: 0x602
  • Base-36: 16Q

Squares and roots of 1538

  • 1538 squared (15382) is 2365444
  • 1538 cubed (15383) is 3638052872
  • The square root of 1538 is 39.2173431023
  • The cube root of 1538 is 11.5430022017

Scales and comparisons

How big is 1538?
  • 1,538 seconds is equal to 25 minutes, 38 seconds.
  • To count from 1 to 1,538 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 1538 cubic inches would be around 1 feet tall.

Recreational maths with 1538

  • 1538 backwards is 8351
  • The number of decimal digits it has is: 4
  • The sum of 1538's digits is 17
  • More coming soon!

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"Number 1538 - Facts about the integer". Numbermatics.com. 2022. Web. 1 July 2022.

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Numbermatics. (2022). Number 1538 - Facts about the integer. Retrieved 1 July 2022, from https://numbermatics.com/n/1538/

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Numbermatics. 2022. "Number 1538 - Facts about the integer". https://numbermatics.com/n/1538/

The information we have on file for 1538 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 1538, math, Factors of 1538, curriculum, school, college, exams, university, Prime factorization of 1538, STEM, science, technology, engineering, physics, economics, calculator, one thousand, five hundred thirty-eight.

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