21948

21,948 is an even composite number composed of four prime numbers multiplied together.

What does the number 21948 look like?

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

21948 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 21948:

2² × 3 × 31 × 59

(2 × 2 × 3 × 31 × 59)

See below for interesting mathematical facts about the number 21948 from the Numbermatics database.

Names of 21948

Cardinal: 21948 can be written as Twenty-one thousand, nine hundred forty-eight.

Scientific notation

Scientific notation: 2.1948 × 10⁴

Factors of 21948

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 5
Sum of prime factors: 95

Divisors of 21948

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 12 31 59 62 93 118 124 177 186 236 354 372 708 1829 3658 5487 7316 10974 21948
Sum of all divisors σ(n): 53760
Sum of proper divisors (its aliquot sum) s(n): 31812
21948 is an abundant number, because the sum of its proper divisors (31812) is greater than itself. Its abundance is 9864

Bases of 21948

Binary: 101010110111100₂
Hexadecimal: 0x55BC
Base-36: GXO

Squares and roots of 21948

21948 squared (21948²) is 481714704
21948 cubed (21948³) is 10572674323392
The square root of 21948 is 148.1485740735
The cube root of 21948 is 27.9982992165

Scales and comparisons

How big is 21948?

21,948 seconds is equal to 6 hours, 5 minutes, 48 seconds.
To count from 1 to 21,948 would take you about six 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 21948 cubic inches would be around 2.3 feet tall.

Recreational maths with 21948

21948 backwards is 84912
The number of decimal digits it has is: 5
The sum of 21948's digits is 24
More coming soon!

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The information we have on file for 21948 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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