13,166 is an even composite number composed of three prime numbers multiplied together.

What does the number 13166 look like?

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

13166 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 13166:

2 × 29 × 227

See below for interesting mathematical facts about the number 13166 from the Numbermatics database.

Names of 13166

  • Cardinal: 13166 can be written as Thirteen thousand, one hundred sixty-six.

Scientific notation

  • Scientific notation: 1.3166 × 104

Factors of 13166

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 258

Divisors of 13166

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 20520
  • Sum of proper divisors (its aliquot sum) s(n): 7354
  • 13166 is a deficient number, because the sum of its proper divisors (7354) is less than itself. Its deficiency is 5812

Bases of 13166

  • Binary: 110011011011102
  • Hexadecimal: 0x336E
  • Base-36: A5Q

Squares and roots of 13166

  • 13166 squared (131662) is 173343556
  • 13166 cubed (131663) is 2282241258296
  • The square root of 13166 is 114.7431915191
  • The cube root of 13166 is 23.6130063327

Scales and comparisons

How big is 13166?
  • 13,166 seconds is equal to 3 hours, 39 minutes, 26 seconds.
  • To count from 1 to 13,166 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 13166 cubic inches would be around 2 feet tall.

Recreational maths with 13166

  • 13166 backwards is 66131
  • The number of decimal digits it has is: 5
  • The sum of 13166's digits is 17
  • More coming soon!

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 13166 - Facts about the integer". Numbermatics.com. 2022. Web. 6 December 2022.

APA style:
Numbermatics. (2022). Number 13166 - Facts about the integer. Retrieved 6 December 2022, from https://numbermatics.com/n/13166/

Chicago style:
Numbermatics. 2022. "Number 13166 - Facts about the integer". https://numbermatics.com/n/13166/

The information we have on file for 13166 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 13166, math, Factors of 13166, curriculum, school, college, exams, university, Prime factorization of 13166, STEM, science, technology, engineering, physics, economics, calculator, thirteen thousand, one hundred sixty-six.

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