# 624

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

What does the number 624 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

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

## Prime factorization of 624:

### 24 × 3 × 13

(2 × 2 × 2 × 2 × 3 × 13)

See below for interesting mathematical facts about the number 624 from the Numbermatics database.

### Names of 624

• Cardinal: 624 can be written as Six hundred twenty-four.

### Scientific notation

• Scientific notation: 6.24 × 102

### Factors of 624

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

### Divisors of 624

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 1736
• Sum of proper divisors (its aliquot sum) s(n): 1112
• 624 is an abundant number, because the sum of its proper divisors (1112) is greater than itself. Its abundance is 488

### Bases of 624

• Binary: 10011100002
• Base-36: HC

### Squares and roots of 624

• 624 squared (6242) is 389376
• 624 cubed (6243) is 242970624
• The square root of 624 is 24.9799919935
• The cube root of 624 is 8.5453173633

### Scales and comparisons

How big is 624?
• 624 seconds is equal to 10 minutes, 24 seconds.
• To count from 1 to 624 would take you about five 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 624 cubic inches would be around 0.7 feet tall.

### Recreational maths with 624

• 624 backwards is 426
• 624 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 624's digits is 12
• More coming soon!