33813

33,813 is an odd composite number composed of three prime numbers multiplied together.

What does the number 33813 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

33813 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 33813:

3² × 13 × 17²

(3 × 3 × 13 × 17 × 17)

See below for interesting mathematical facts about the number 33813 from the Numbermatics database.

Names of 33813

Cardinal: 33813 can be written as Thirty-three thousand, eight hundred thirteen.

Scientific notation

Scientific notation: 3.3813 × 10⁴

Factors of 33813

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 33

Divisors of 33813

Number of divisors d(n): 18
Complete list of divisors:
1 3 9 13 17 39 51 117 153 221 289 663 867 1989 2601 3757 11271 33813
Sum of all divisors σ(n): 55874
Sum of proper divisors (its aliquot sum) s(n): 22061
33813 is a deficient number, because the sum of its proper divisors (22061) is less than itself. Its deficiency is 11752

Bases of 33813

Binary: 1000010000010101₂
Hexadecimal: 0x8415
Base-36: Q39

Squares and roots of 33813

33813 squared (33813²) is 1143318969
33813 cubed (33813³) is 38659044298797
The square root of 33813 is 183.8831150487
The cube root of 33813 is 32.3366159087

Scales and comparisons

How big is 33813?

33,813 seconds is equal to 9 hours, 23 minutes, 33 seconds.
To count from 1 to 33,813 would take you about nine 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 33813 cubic inches would be around 2.7 feet tall.

Recreational maths with 33813

33813 backwards is 31833
The number of decimal digits it has is: 5
The sum of 33813's digits is 18
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.

<a href="https://numbermatics.com/n/33813/?utm_source=shared">Number 33813 - Facts about the integer</a>

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

[url=https://numbermatics.com/n/33813/?utm_source=shared]Number 33813 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 33813 - Facts about the integer". Numbermatics.com. 2024. Web. 24 April 2024.

APA style:
Numbermatics. (2024). Number 33813 - Facts about the integer. Retrieved 24 April 2024, from https://numbermatics.com/n/33813/

Chicago style:
Numbermatics. 2024. "Number 33813 - Facts about the integer". https://numbermatics.com/n/33813/

The information we have on file for 33813 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 33813, math, Factors of 33813, curriculum, school, college, exams, university, Prime factorization of 33813, STEM, science, technology, engineering, physics, economics, calculator, thirty-three thousand, eight hundred thirteen.