3168

3,168 is an even composite number composed of three prime numbers multiplied together.

What does the number 3168 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

3168 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 3168:

2⁵ × 3² × 11

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 3168 from the Numbermatics database.

Names of 3168

Cardinal: 3168 can be written as Three thousand, one hundred sixty-eight.

Scientific notation

Scientific notation: 3.168 × 10³

Factors of 3168

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 16

Divisors of 3168

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168
Sum of all divisors σ(n): 9828
Sum of proper divisors (its aliquot sum) s(n): 6660
3168 is an abundant number, because the sum of its proper divisors (6660) is greater than itself. Its abundance is 3492

Bases of 3168

Binary: 110001100000₂
Hexadecimal: 0xC60
Base-36: 2G0

Squares and roots of 3168

3168 squared (3168²) is 10036224
3168 cubed (3168³) is 31794757632
The square root of 3168 is 56.2849891179
The cube root of 3168 is 14.6868409241

Scales and comparisons

How big is 3168?

3,168 seconds is equal to 52 minutes, 48 seconds.
To count from 1 to 3,168 would take you about fifty-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 3168 cubic inches would be around 1.2 feet tall.

Recreational maths with 3168

3168 backwards is 8613
3168 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 3168'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/3168/?utm_source=shared">Number 3168 - 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/3168/?utm_source=shared]Number 3168 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 3168 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.

APA style:
Numbermatics. (2024). Number 3168 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/3168/

Chicago style:
Numbermatics. 2024. "Number 3168 - Facts about the integer". https://numbermatics.com/n/3168/

The information we have on file for 3168 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 3168, math, Factors of 3168, curriculum, school, college, exams, university, Prime factorization of 3168, STEM, science, technology, engineering, physics, economics, calculator, three thousand, one hundred sixty-eight.