39984

39,984 is an even composite number composed of four prime numbers multiplied together.

What does the number 39984 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

39984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 39984:

2⁴ × 3 × 7² × 17

(2 × 2 × 2 × 2 × 3 × 7 × 7 × 17)

See below for interesting mathematical facts about the number 39984 from the Numbermatics database.

Names of 39984

Cardinal: 39984 can be written as Thirty-nine thousand, nine hundred eighty-four.

Scientific notation

Scientific notation: 3.9984 × 10⁴

Factors of 39984

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 29

Divisors of 39984

Number of divisors d(n): 60
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2856 3332 4998 5712 6664 9996 13328 19992 39984
Sum of all divisors σ(n): 127224
Sum of proper divisors (its aliquot sum) s(n): 87240
39984 is an abundant number, because the sum of its proper divisors (87240) is greater than itself. Its abundance is 47256

Bases of 39984

Binary: 1001110000110000₂
Hexadecimal: 0x9C30
Base-36: UUO

Squares and roots of 39984

39984 squared (39984²) is 1598720256
39984 cubed (39984³) is 63923230715904
The square root of 39984 is 199.9599959992
The cube root of 39984 is 34.1949583895

Scales and comparisons

How big is 39984?

39,984 seconds is equal to 11 hours, 6 minutes, 24 seconds.
To count from 1 to 39,984 would take you about eleven 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 39984 cubic inches would be around 2.8 feet tall.

Recreational maths with 39984

39984 backwards is 48993
The number of decimal digits it has is: 5
The sum of 39984's digits is 33
More coming soon!

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The information we have on file for 39984 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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