631296

631,296 is an even composite number composed of three prime numbers multiplied together.

What does the number 631296 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

631296 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 631296:

2⁹ × 3² × 137

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 137)

See below for interesting mathematical facts about the number 631296 from the Numbermatics database.

Names of 631296

Cardinal: 631296 can be written as Six hundred thirty-one thousand, two hundred ninety-six.

Scientific notation

Scientific notation: 6.31296 × 10⁵

Factors of 631296

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 12
Sum of prime factors: 142

Divisors of 631296

Number of divisors d(n): 60
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 512 548 576 768 822 1096 1152 1233 1536 1644 2192 2304 2466 3288 4384 4608 4932 6576 8768 9864 13152 17536 19728 26304 35072 39456 52608 70144 78912 105216 157824 210432 315648 631296
Sum of all divisors σ(n): 1835262
Sum of proper divisors (its aliquot sum) s(n): 1203966
631296 is an abundant number, because the sum of its proper divisors (1203966) is greater than itself. Its abundance is 572670

Bases of 631296

Binary: 10011010001000000000₂
Hexadecimal: 0x9A200
Base-36: DJ40

Squares and roots of 631296

631296 squared (631296²) is 398534639616
631296 cubed (631296³) is 251593323851022336
The square root of 631296 is 794.5413771479
The cube root of 631296 is 85.7849322327

Scales and comparisons

How big is 631296?

631,296 seconds is equal to 1 week, 7 hours, 21 minutes, 36 seconds.
To count from 1 to 631,296 would take you about seven 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 631296 cubic inches would be around 7.1 feet tall.

Recreational maths with 631296

631296 backwards is 692136
The number of decimal digits it has is: 6
The sum of 631296's digits is 27
More coming soon!

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The information we have on file for 631296 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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