12972

12,972 is an even composite number composed of four prime numbers multiplied together.

What does the number 12972 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

12972 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 12972:

2² × 3 × 23 × 47

(2 × 2 × 3 × 23 × 47)

See below for interesting mathematical facts about the number 12972 from the Numbermatics database.

Names of 12972

Cardinal: 12972 can be written as Twelve thousand, nine hundred seventy-two.

Scientific notation

Scientific notation: 1.2972 × 10⁴

Factors of 12972

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 5
Sum of prime factors: 75

Divisors of 12972

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1081 2162 3243 4324 6486 12972
Sum of all divisors σ(n): 32256
Sum of proper divisors (its aliquot sum) s(n): 19284
12972 is an abundant number, because the sum of its proper divisors (19284) is greater than itself. Its abundance is 6312

Bases of 12972

Binary: 11001010101100₂
Hexadecimal: 0x32AC
Base-36: A0C

Squares and roots of 12972

12972 squared (12972²) is 168272784
12972 cubed (12972³) is 2182834554048
The square root of 12972 is 113.8946881993
The cube root of 12972 is 23.4964533655

Scales and comparisons

How big is 12972?

12,972 seconds is equal to 3 hours, 36 minutes, 12 seconds.
To count from 1 to 12,972 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 12972 cubic inches would be around 2 feet tall.

Recreational maths with 12972

12972 backwards is 27921
The number of decimal digits it has is: 5
The sum of 12972's digits is 21
More coming soon!

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The information we have on file for 12972 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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