# 2456

## 2,456 is an even composite number composed of two prime numbers multiplied together.

What does the number 2456 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

2456 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 2456:

### 23 × 307

(2 × 2 × 2 × 307)

See below for interesting mathematical facts about the number 2456 from the Numbermatics database.

### Names of 2456

• Cardinal: 2456 can be written as Two thousand, four hundred fifty-six.

### Scientific notation

• Scientific notation: 2.456 × 103

### Factors of 2456

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 309

### Divisors of 2456

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 4620
• Sum of proper divisors (its aliquot sum) s(n): 2164
• 2456 is a deficient number, because the sum of its proper divisors (2164) is less than itself. Its deficiency is 292

### Bases of 2456

• Binary: 1001100110002
• Base-36: 1W8

### Squares and roots of 2456

• 2456 squared (24562) is 6031936
• 2456 cubed (24563) is 14814434816
• The square root of 2456 is 49.5580467735
• The cube root of 2456 is 13.4919934233

### Scales and comparisons

How big is 2456?
• 2,456 seconds is equal to 40 minutes, 56 seconds.
• To count from 1 to 2,456 would take you about forty 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 2456 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2456

• 2456 backwards is 6542
• The number of decimal digits it has is: 4
• The sum of 2456's digits is 17
• More coming soon!