13984

13,984 is an even composite number composed of three prime numbers multiplied together.

What does the number 13984 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

13984 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 13984:

2⁵ × 19 × 23

(2 × 2 × 2 × 2 × 2 × 19 × 23)

See below for interesting mathematical facts about the number 13984 from the Numbermatics database.

Names of 13984

Cardinal: 13984 can be written as Thirteen thousand, nine hundred eighty-four.

Scientific notation

Scientific notation: 1.3984 × 10⁴

Factors of 13984

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 44

Divisors of 13984

Number of divisors d(n): 24
Complete list of divisors:
1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 3496 6992 13984
Sum of all divisors σ(n): 30240
Sum of proper divisors (its aliquot sum) s(n): 16256
13984 is an abundant number, because the sum of its proper divisors (16256) is greater than itself. Its abundance is 2272

Bases of 13984

Binary: 11011010100000₂
Hexadecimal: 0x36A0
Base-36: ASG

Squares and roots of 13984

13984 squared (13984²) is 195552256
13984 cubed (13984³) is 2734602747904
The square root of 13984 is 118.2539639927
The cube root of 13984 is 24.0922376473

Scales and comparisons

How big is 13984?

13,984 seconds is equal to 3 hours, 53 minutes, 4 seconds.
To count from 1 to 13,984 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 13984 cubic inches would be around 2 feet tall.

Recreational maths with 13984

13984 backwards is 48931
The number of decimal digits it has is: 5
The sum of 13984's digits is 25
More coming soon!

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The information we have on file for 13984 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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