1,353 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1353 look like?

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

1353 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

Prime factorization of 1353:

3 × 11 × 41

See below for interesting mathematical facts about the number 1353 from the Numbermatics database.

Names of 1353

  • Cardinal: 1353 can be written as One thousand, three hundred fifty-three.

Scientific notation

  • Scientific notation: 1.353 × 103

Factors of 1353

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 55

Divisors of 1353

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2016
  • Sum of proper divisors (its aliquot sum) s(n): 663
  • 1353 is a deficient number, because the sum of its proper divisors (663) is less than itself. Its deficiency is 690

Bases of 1353

  • Binary: 101010010012
  • Hexadecimal: 0x549
  • Base-36: 11L

Squares and roots of 1353

  • 1353 squared (13532) is 1830609
  • 1353 cubed (13533) is 2476813977
  • The square root of 1353 is 36.7831483155
  • The cube root of 1353 is 11.0602751759

Scales and comparisons

How big is 1353?
  • 1,353 seconds is equal to 22 minutes, 33 seconds.
  • To count from 1 to 1,353 would take you about twenty-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 1353 cubic inches would be around 0.9 feet tall.

Recreational maths with 1353

  • 1353 backwards is 3531
  • The number of decimal digits it has is: 4
  • The sum of 1353's digits is 12
  • More coming soon!

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"Number 1353 - Facts about the integer". Numbermatics.com. 2024. Web. 22 July 2024.

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Numbermatics. (2024). Number 1353 - Facts about the integer. Retrieved 22 July 2024, from https://numbermatics.com/n/1353/

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The information we have on file for 1353 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 1353, math, Factors of 1353, curriculum, school, college, exams, university, Prime factorization of 1353, STEM, science, technology, engineering, physics, economics, calculator, one thousand, three hundred fifty-three.

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