31164

31,164 is an even composite number composed of four prime numbers multiplied together.

What does the number 31164 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

31164 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 31164:

2² × 3 × 7² × 53

(2 × 2 × 3 × 7 × 7 × 53)

See below for interesting mathematical facts about the number 31164 from the Numbermatics database.

Names of 31164

Cardinal: 31164 can be written as Thirty-one thousand, one hundred sixty-four.

Scientific notation

Scientific notation: 3.1164 × 10⁴

Factors of 31164

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 65

Divisors of 31164

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 2226 2597 4452 5194 7791 10388 15582 31164
Sum of all divisors σ(n): 86184
Sum of proper divisors (its aliquot sum) s(n): 55020
31164 is an abundant number, because the sum of its proper divisors (55020) is greater than itself. Its abundance is 23856

Bases of 31164

Binary: 111100110111100₂
Hexadecimal: 0x79BC
Base-36: O1O

Squares and roots of 31164

31164 squared (31164²) is 971194896
31164 cubed (31164³) is 30266317738944
The square root of 31164 is 176.5332829809
The cube root of 31164 is 31.4691055115

Scales and comparisons

How big is 31164?

31,164 seconds is equal to 8 hours, 39 minutes, 24 seconds.
To count from 1 to 31,164 would take you about eight 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 31164 cubic inches would be around 2.6 feet tall.

Recreational maths with 31164

31164 backwards is 46113
The number of decimal digits it has is: 5
The sum of 31164's digits is 15
More coming soon!

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The information we have on file for 31164 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!

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