# 2296

## 2,296 is an even composite number composed of three prime numbers multiplied together.

What does the number 2296 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

2296 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 2296:

### 23 × 7 × 41

(2 × 2 × 2 × 7 × 41)

See below for interesting mathematical facts about the number 2296 from the Numbermatics database.

### Names of 2296

• Cardinal: 2296 can be written as Two thousand, two hundred ninety-six.

### Scientific notation

• Scientific notation: 2.296 × 103

### Factors of 2296

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 50

### Divisors of 2296

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 5040
• Sum of proper divisors (its aliquot sum) s(n): 2744
• 2296 is an abundant number, because the sum of its proper divisors (2744) is greater than itself. Its abundance is 448

### Bases of 2296

• Binary: 1000111110002
• Base-36: 1RS

### Squares and roots of 2296

• 2296 squared (22962) is 5271616
• 2296 cubed (22963) is 12103630336
• The square root of 2296 is 47.9165942029
• The cube root of 2296 is 13.1924045679

### Scales and comparisons

How big is 2296?
• 2,296 seconds is equal to 38 minutes, 16 seconds.
• To count from 1 to 2,296 would take you about thirty-eight 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 2296 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2296

• 2296 backwards is 6922
• The number of decimal digits it has is: 4
• The sum of 2296's digits is 19
• More coming soon!