# 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:
• 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
• 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!