7164

7,164 is an even composite number composed of three prime numbers multiplied together.

What does the number 7164 look like?

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

7164 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 7164:

2² × 3² × 199

(2 × 2 × 3 × 3 × 199)

See below for interesting mathematical facts about the number 7164 from the Numbermatics database.

Names of 7164

Cardinal: 7164 can be written as Seven thousand, one hundred sixty-four.

Scientific notation

Scientific notation: 7.164 × 10³

Factors of 7164

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 204

Divisors of 7164

Number of divisors d(n): 18
Complete list of divisors:
1 2 3 4 6 9 12 18 36 199 398 597 796 1194 1791 2388 3582 7164
Sum of all divisors σ(n): 18200
Sum of proper divisors (its aliquot sum) s(n): 11036
7164 is an abundant number, because the sum of its proper divisors (11036) is greater than itself. Its abundance is 3872

Bases of 7164

Binary: 1101111111100₂
Hexadecimal: 0x1BFC
Base-36: 5J0

Squares and roots of 7164

7164 squared (7164²) is 51322896
7164 cubed (7164³) is 367677226944
The square root of 7164 is 84.6404158779
The cube root of 7164 is 19.2775509249

Scales and comparisons

How big is 7164?

7,164 seconds is equal to 1 hour, 59 minutes, 24 seconds.
To count from 1 to 7,164 would take you about fifty-nine 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 7164 cubic inches would be around 1.6 feet tall.

Recreational maths with 7164

7164 backwards is 4617
7164 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 7164'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/7164/?utm_source=shared">Number 7164 - 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/7164/?utm_source=shared]Number 7164 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 7164 - Facts about the integer". Numbermatics.com. 2025. Web. 30 April 2025.

APA style:
Numbermatics. (2025). Number 7164 - Facts about the integer. Retrieved 30 April 2025, from https://numbermatics.com/n/7164/

Chicago style:
Numbermatics. 2025. "Number 7164 - Facts about the integer". https://numbermatics.com/n/7164/

The information we have on file for 7164 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 7164, math, Factors of 7164, curriculum, school, college, exams, university, Prime factorization of 7164, STEM, science, technology, engineering, physics, economics, calculator, seven thousand, one hundred sixty-four.