13758

13,758 is an even composite number composed of three prime numbers multiplied together.

What does the number 13758 look like?

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

13758 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 13758:

2 × 3 × 2293

See below for interesting mathematical facts about the number 13758 from the Numbermatics database.


Names of 13758

  • Cardinal: 13758 can be written as Thirteen thousand, seven hundred fifty-eight.

Scientific notation

  • Scientific notation: 1.3758 × 104

Factors of 13758

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 2298

Divisors of 13758

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 27528
  • Sum of proper divisors (its aliquot sum) s(n): 13770
  • 13758 is an abundant number, because the sum of its proper divisors (13770) is greater than itself. Its abundance is 12

Bases of 13758

  • Binary: 110101101111102
  • Hexadecimal: 0x35BE
  • Base-36: AM6

Squares and roots of 13758

  • 13758 squared (137582) is 189282564
  • 13758 cubed (137583) is 2604149515512
  • The square root of 13758 is 117.2945011499
  • The cube root of 13758 is 23.9617446099

Scales and comparisons

How big is 13758?
  • 13,758 seconds is equal to 3 hours, 49 minutes, 18 seconds.
  • To count from 1 to 13,758 would take you about three 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 13758 cubic inches would be around 2 feet tall.

Recreational maths with 13758

  • 13758 backwards is 85731
  • The number of decimal digits it has is: 5
  • The sum of 13758's digits is 24
  • More coming soon!

Copy this link to share with anyone:


Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 13758 - Facts about the integer". Numbermatics.com. 2024. Web. 25 April 2024.

APA style:
Numbermatics. (2024). Number 13758 - Facts about the integer. Retrieved 25 April 2024, from https://numbermatics.com/n/13758/

Chicago style:
Numbermatics. 2024. "Number 13758 - Facts about the integer". https://numbermatics.com/n/13758/

The information we have on file for 13758 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 13758, math, Factors of 13758, curriculum, school, college, exams, university, Prime factorization of 13758, STEM, science, technology, engineering, physics, economics, calculator, thirteen thousand, seven hundred fifty-eight.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.