1296

1,296 is an even composite number composed of two prime numbers multiplied together.

What does the number 1296 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 25 divisors.

1296 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-five divisors.

Prime factorization of 1296:

2⁴ × 3⁴

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 1296 from the Numbermatics database.

Names of 1296

Cardinal: 1296 can be written as One thousand, two hundred ninety-six.

Scientific notation

Scientific notation: 1.296 × 10³

Factors of 1296

Number of distinct prime factors ω(n): 2
Total number of prime factors Ω(n): 8
Sum of prime factors: 5

Divisors of 1296

Number of divisors d(n): 25
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296
Sum of all divisors σ(n): 3751
Sum of proper divisors (its aliquot sum) s(n): 2455
1296 is an abundant number, because the sum of its proper divisors (2455) is greater than itself. Its abundance is 1159

Bases of 1296

Binary: 10100010000₂
Hexadecimal: 0x510
Base-36: 100

Squares and roots of 1296

1296 squared (1296²) is 1679616
1296 cubed (1296³) is 2176782336
1296 is a perfect square number. Its square root is 36
The cube root of 1296 is 10.9027235569

Scales and comparisons

How big is 1296?

1,296 seconds is equal to 21 minutes, 36 seconds.
To count from 1 to 1,296 would take you about twenty-one 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 1296 cubic inches would be around 0.9 feet tall.

Recreational maths with 1296

1296 backwards is 6921
1296 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 1296's digits is 18
More coming soon!

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The information we have on file for 1296 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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