21744

21,744 is an even composite number composed of three prime numbers multiplied together.

What does the number 21744 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

21744 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 21744:

2⁴ × 3² × 151

(2 × 2 × 2 × 2 × 3 × 3 × 151)

See below for interesting mathematical facts about the number 21744 from the Numbermatics database.

Names of 21744

Cardinal: 21744 can be written as Twenty-one thousand, seven hundred forty-four.

Scientific notation

Scientific notation: 2.1744 × 10⁴

Factors of 21744

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 156

Divisors of 21744

Number of divisors d(n): 30
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2718 3624 5436 7248 10872 21744
Sum of all divisors σ(n): 61256
Sum of proper divisors (its aliquot sum) s(n): 39512
21744 is an abundant number, because the sum of its proper divisors (39512) is greater than itself. Its abundance is 17768

Bases of 21744

Binary: 101010011110000₂
Hexadecimal: 0x54F0
Base-36: GS0

Squares and roots of 21744

21744 squared (21744²) is 472801536
21744 cubed (21744³) is 10280596598784
The square root of 21744 is 147.4584687293
The cube root of 21744 is 27.9112838313

Scales and comparisons

How big is 21744?

21,744 seconds is equal to 6 hours, 2 minutes, 24 seconds.
To count from 1 to 21,744 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 21744 cubic inches would be around 2.3 feet tall.

Recreational maths with 21744

21744 backwards is 44712
21744 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 21744's digits is 18
More coming soon!

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The information we have on file for 21744 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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