# 6624

## 6,624 is an even composite number composed of three prime numbers multiplied together.

What does the number 6624 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

6624 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 6624:

### 25 × 32 × 23

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 23)

See below for interesting mathematical facts about the number 6624 from the Numbermatics database.

### Names of 6624

• Cardinal: 6624 can be written as Six thousand, six hundred twenty-four.

### Scientific notation

• Scientific notation: 6.624 × 103

### Factors of 6624

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 28

### Divisors of 6624

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 19656
• Sum of proper divisors (its aliquot sum) s(n): 13032
• 6624 is an abundant number, because the sum of its proper divisors (13032) is greater than itself. Its abundance is 6408

### Bases of 6624

• Binary: 11001111000002
• Base-36: 540

### Squares and roots of 6624

• 6624 squared (66242) is 43877376
• 6624 cubed (66243) is 290643738624
• The square root of 6624 is 81.3879597975
• The cube root of 6624 is 18.7804837461

### Scales and comparisons

How big is 6624?
• 6,624 seconds is equal to 1 hour, 50 minutes, 24 seconds.
• To count from 1 to 6,624 would take you about fifty 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 6624 cubic inches would be around 1.6 feet tall.

### Recreational maths with 6624

• 6624 backwards is 4266
• 6624 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 6624's digits is 18
• More coming soon!