# 4056

## 4,056 is an even composite number composed of three prime numbers multiplied together.

What does the number 4056 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

4056 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 4056:

### 23 × 3 × 132

(2 × 2 × 2 × 3 × 13 × 13)

See below for interesting mathematical facts about the number 4056 from the Numbermatics database.

### Names of 4056

• Cardinal: 4056 can be written as Four thousand and fifty-six.

### Scientific notation

• Scientific notation: 4.056 × 103

### Factors of 4056

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 18

### Divisors of 4056

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 10980
• Sum of proper divisors (its aliquot sum) s(n): 6924
• 4056 is an abundant number, because the sum of its proper divisors (6924) is greater than itself. Its abundance is 2868

### Bases of 4056

• Binary: 1111110110002
• Base-36: 34O

### Squares and roots of 4056

• 4056 squared (40562) is 16451136
• 4056 cubed (40563) is 66725807616
• The square root of 4056 is 63.6867333123
• The cube root of 4056 is 15.9477461987

### Scales and comparisons

How big is 4056?
• 4,056 seconds is equal to 1 hour, 7 minutes, 36 seconds.
• To count from 1 to 4,056 would take you about seven 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 4056 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4056

• 4056 backwards is 6504
• The number of decimal digits it has is: 4
• The sum of 4056's digits is 15
• More coming soon!