5984

5,984 is an even composite number composed of three prime numbers multiplied together.

What does the number 5984 look like?

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

5984 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 5984:

2⁵ × 11 × 17

(2 × 2 × 2 × 2 × 2 × 11 × 17)

See below for interesting mathematical facts about the number 5984 from the Numbermatics database.

Names of 5984

Cardinal: 5984 can be written as Five thousand, nine hundred eighty-four.

Scientific notation

Scientific notation: 5.984 × 10³

Factors of 5984

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 30

Divisors of 5984

Number of divisors d(n): 24
Complete list of divisors:
1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984
Sum of all divisors σ(n): 13608
Sum of proper divisors (its aliquot sum) s(n): 7624
5984 is an abundant number, because the sum of its proper divisors (7624) is greater than itself. Its abundance is 1640

Bases of 5984

Binary: 1011101100000₂
Hexadecimal: 0x1760
Base-36: 4M8

Squares and roots of 5984

5984 squared (5984²) is 35808256
5984 cubed (5984³) is 214276603904
The square root of 5984 is 77.3563184231
The cube root of 5984 is 18.1550393663

Scales and comparisons

How big is 5984?

5,984 seconds is equal to 1 hour, 39 minutes, 44 seconds.
To count from 1 to 5,984 would take you about thirty-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 5984 cubic inches would be around 1.5 feet tall.

Recreational maths with 5984

5984 backwards is 4895
The number of decimal digits it has is: 4
The sum of 5984's digits is 26
More coming soon!

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The information we have on file for 5984 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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