3996

3,996 is an even composite number composed of three prime numbers multiplied together.

What does the number 3996 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

3996 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 3996:

2² × 3³ × 37

(2 × 2 × 3 × 3 × 3 × 37)

See below for interesting mathematical facts about the number 3996 from the Numbermatics database.

Names of 3996

Cardinal: 3996 can be written as Three thousand, nine hundred ninety-six.

Scientific notation

Scientific notation: 3.996 × 10³

Factors of 3996

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 42

Divisors of 3996

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996
Sum of all divisors σ(n): 10640
Sum of proper divisors (its aliquot sum) s(n): 6644
3996 is an abundant number, because the sum of its proper divisors (6644) is greater than itself. Its abundance is 2648

Bases of 3996

Binary: 111110011100₂
Hexadecimal: 0xF9C
Base-36: 330

Squares and roots of 3996

3996 squared (3996²) is 15968016
3996 cubed (3996³) is 63808191936
The square root of 3996 is 63.2139225171
The cube root of 3996 is 15.8687174181

Scales and comparisons

How big is 3996?

3,996 seconds is equal to 1 hour, 6 minutes, 36 seconds.
To count from 1 to 3,996 would take you about six minutes.

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 3996 cubic inches would be around 1.3 feet tall.

Recreational maths with 3996

3996 backwards is 6993
3996 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 3996's digits is 27
More coming soon!

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The information we have on file for 3996 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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