# 2976

## 2,976 is an even composite number composed of three prime numbers multiplied together.

What does the number 2976 look like?

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

2976 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 2976:

### 25 × 3 × 31

(2 × 2 × 2 × 2 × 2 × 3 × 31)

See below for interesting mathematical facts about the number 2976 from the Numbermatics database.

### Names of 2976

• Cardinal: 2976 can be written as Two thousand, nine hundred seventy-six.

### Scientific notation

• Scientific notation: 2.976 × 103

### Factors of 2976

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 36

### Divisors of 2976

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 8064
• Sum of proper divisors (its aliquot sum) s(n): 5088
• 2976 is an abundant number, because the sum of its proper divisors (5088) is greater than itself. Its abundance is 2112

### Bases of 2976

• Binary: 1011101000002
• Base-36: 2AO

### Squares and roots of 2976

• 2976 squared (29762) is 8856576
• 2976 cubed (29763) is 26357170176
• The square root of 2976 is 54.5527267879
• The cube root of 2976 is 14.3839326963

### Scales and comparisons

How big is 2976?
• 2,976 seconds is equal to 49 minutes, 36 seconds.
• To count from 1 to 2,976 would take you about forty-nine 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 2976 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2976

• 2976 backwards is 6792
• 2976 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2976's digits is 24
• More coming soon!