9960

9,960 is an even composite number composed of four prime numbers multiplied together.

What does the number 9960 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

9960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 9960:

2³ × 3 × 5 × 83

(2 × 2 × 2 × 3 × 5 × 83)

See below for interesting mathematical facts about the number 9960 from the Numbermatics database.

Names of 9960

Cardinal: 9960 can be written as Nine thousand, nine hundred sixty.

Scientific notation

Scientific notation: 9.96 × 10³

Factors of 9960

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 93

Divisors of 9960

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960
Sum of all divisors σ(n): 30240
Sum of proper divisors (its aliquot sum) s(n): 20280
9960 is an abundant number, because the sum of its proper divisors (20280) is greater than itself. Its abundance is 10320

Bases of 9960

Binary: 10011011101000₂
Hexadecimal: 0x26E8
Base-36: 7OO

Squares and roots of 9960

9960 squared (9960²) is 99201600
9960 cubed (9960³) is 988047936000
The square root of 9960 is 99.7997995989
The cube root of 9960 is 21.5155827181

Scales and comparisons

How big is 9960?

9,960 seconds is equal to 2 hours, 46 minutes.
To count from 1 to 9,960 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 9960 cubic inches would be around 1.8 feet tall.

Recreational maths with 9960

9960 backwards is 0699
9960 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 9960's digits is 24
More coming soon!

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The information we have on file for 9960 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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