# 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:
• 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
• 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!