5184

5,184 is an even composite number composed of two prime numbers multiplied together.

What does the number 5184 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 35 divisors.

5184 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty-five divisors.

Prime factorization of 5184:

2⁶ × 3⁴

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 5184 from the Numbermatics database.

Names of 5184

Cardinal: 5184 can be written as Five thousand, one hundred eighty-four.

Scientific notation

Scientific notation: 5.184 × 10³

Factors of 5184

Number of distinct prime factors ω(n): 2
Total number of prime factors Ω(n): 10
Sum of prime factors: 5

Divisors of 5184

Number of divisors d(n): 35
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184
Sum of all divisors σ(n): 15367
Sum of proper divisors (its aliquot sum) s(n): 10183
5184 is an abundant number, because the sum of its proper divisors (10183) is greater than itself. Its abundance is 4999

Bases of 5184

Binary: 1010001000000₂
Hexadecimal: 0x1440
Base-36: 400

Squares and roots of 5184

5184 squared (5184²) is 26873856
5184 cubed (5184³) is 139314069504
5184 is a perfect square number. Its square root is 72
The cube root of 5184 is 17.3069948437

Scales and comparisons

How big is 5184?

5,184 seconds is equal to 1 hour, 26 minutes, 24 seconds.
To count from 1 to 5,184 would take you about twenty-six 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 5184 cubic inches would be around 1.4 feet tall.

Recreational maths with 5184

5184 backwards is 4815
5184 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 5184's digits is 18
More coming soon!

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The information we have on file for 5184 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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