3296

3,296 is an even composite number composed of two prime numbers multiplied together.

What does the number 3296 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

3296 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 3296:

2⁵ × 103

(2 × 2 × 2 × 2 × 2 × 103)

See below for interesting mathematical facts about the number 3296 from the Numbermatics database.

Names of 3296

Cardinal: 3296 can be written as Three thousand, two hundred ninety-six.

Scientific notation

Scientific notation: 3.296 × 10³

Factors of 3296

Number of distinct prime factors ω(n): 2
Total number of prime factors Ω(n): 6
Sum of prime factors: 105

Divisors of 3296

Number of divisors d(n): 12
Complete list of divisors:
1 2 4 8 16 32 103 206 412 824 1648 3296
Sum of all divisors σ(n): 6552
Sum of proper divisors (its aliquot sum) s(n): 3256
3296 is a deficient number, because the sum of its proper divisors (3256) is less than itself. Its deficiency is 40

Bases of 3296

Binary: 110011100000₂
Hexadecimal: 0xCE0
Base-36: 2JK

Squares and roots of 3296

3296 squared (3296²) is 10863616
3296 cubed (3296³) is 35806478336
The square root of 3296 is 57.4108003777
The cube root of 3296 is 14.8820377217

Scales and comparisons

How big is 3296?

3,296 seconds is equal to 54 minutes, 56 seconds.
To count from 1 to 3,296 would take you about fifty-four 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 3296 cubic inches would be around 1.2 feet tall.

Recreational maths with 3296

3296 backwards is 6923
The number of decimal digits it has is: 4
The sum of 3296's digits is 20
More coming soon!

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The information we have on file for 3296 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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