15972

15,972 is an even composite number composed of three prime numbers multiplied together.

What does the number 15972 look like?

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

15972 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 15972:

2² × 3 × 11³

(2 × 2 × 3 × 11 × 11 × 11)

See below for interesting mathematical facts about the number 15972 from the Numbermatics database.

Names of 15972

Cardinal: 15972 can be written as Fifteen thousand, nine hundred seventy-two.

Scientific notation

Scientific notation: 1.5972 × 10⁴

Factors of 15972

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 16

Divisors of 15972

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 2662 3993 5324 7986 15972
Sum of all divisors σ(n): 40992
Sum of proper divisors (its aliquot sum) s(n): 25020
15972 is an abundant number, because the sum of its proper divisors (25020) is greater than itself. Its abundance is 9048

Bases of 15972

Binary: 11111001100100₂
Hexadecimal: 0x3E64
Base-36: CBO

Squares and roots of 15972

15972 squared (15972²) is 255104784
15972 cubed (15972³) is 4074533610048
The square root of 15972 is 126.3803782239
The cube root of 15972 is 25.1837133361

Scales and comparisons

How big is 15972?

15,972 seconds is equal to 4 hours, 26 minutes, 12 seconds.
To count from 1 to 15,972 would take you about four 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 15972 cubic inches would be around 2.1 feet tall.

Recreational maths with 15972

15972 backwards is 27951
The number of decimal digits it has is: 5
The sum of 15972's digits is 24
More coming soon!

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The information we have on file for 15972 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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