14976

14,976 is an even composite number composed of three prime numbers multiplied together.

What does the number 14976 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

14976 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 14976:

2⁷ × 3² × 13

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13)

See below for interesting mathematical facts about the number 14976 from the Numbermatics database.

Names of 14976

Cardinal: 14976 can be written as Fourteen thousand, nine hundred seventy-six.

Scientific notation

Scientific notation: 1.4976 × 10⁴

Factors of 14976

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 18

Divisors of 14976

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976
Sum of all divisors σ(n): 46410
Sum of proper divisors (its aliquot sum) s(n): 31434
14976 is an abundant number, because the sum of its proper divisors (31434) is greater than itself. Its abundance is 16458

Bases of 14976

Binary: 11101010000000₂
Hexadecimal: 0x3A80
Base-36: BK0

Squares and roots of 14976

14976 squared (14976²) is 224280576
14976 cubed (14976³) is 3358825906176
The square root of 14976 is 122.3764683263
The cube root of 14976 is 24.6489605911

Scales and comparisons

How big is 14976?

14,976 seconds is equal to 4 hours, 9 minutes, 36 seconds.
To count from 1 to 14,976 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 14976 cubic inches would be around 2.1 feet tall.

Recreational maths with 14976

14976 backwards is 67941
The number of decimal digits it has is: 5
The sum of 14976's digits is 27
More coming soon!

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The information we have on file for 14976 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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