9968

9,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 9968 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

9968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

Prime factorization of 9968:

2⁴ × 7 × 89

(2 × 2 × 2 × 2 × 7 × 89)

See below for interesting mathematical facts about the number 9968 from the Numbermatics database.

Names of 9968

Cardinal: 9968 can be written as Nine thousand, nine hundred sixty-eight.

Scientific notation

Scientific notation: 9.968 × 10³

Factors of 9968

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 98

Divisors of 9968

Number of divisors d(n): 20
Complete list of divisors:
1 2 4 7 8 14 16 28 56 89 112 178 356 623 712 1246 1424 2492 4984 9968
Sum of all divisors σ(n): 22320
Sum of proper divisors (its aliquot sum) s(n): 12352
9968 is an abundant number, because the sum of its proper divisors (12352) is greater than itself. Its abundance is 2384

Bases of 9968

Binary: 10011011110000₂
Hexadecimal: 0x26F0
Base-36: 7OW

Squares and roots of 9968

9968 squared (9968²) is 99361024
9968 cubed (9968³) is 990430687232
The square root of 9968 is 99.8398717947
The cube root of 9968 is 21.5213417071

Scales and comparisons

How big is 9968?

9,968 seconds is equal to 2 hours, 46 minutes, 8 seconds.
To count from 1 to 9,968 would take you about two 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 9968 cubic inches would be around 1.8 feet tall.

Recreational maths with 9968

9968 backwards is 8699
The number of decimal digits it has is: 4
The sum of 9968's digits is 32
More coming soon!

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The information we have on file for 9968 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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