# 600

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

What does the number 600 look like?

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

600 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 600:

### 23 × 3 × 52

(2 × 2 × 2 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 600 from the Numbermatics database.

### Names of 600

• Cardinal: 600 can be written as Six hundred.

### Scientific notation

• Scientific notation: 6 × 102

### Factors of 600

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 10

### Divisors of 600

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 1860
• Sum of proper divisors (its aliquot sum) s(n): 1260
• 600 is an abundant number, because the sum of its proper divisors (1260) is greater than itself. Its abundance is 660

### Bases of 600

• Binary: 10010110002
• Base-36: GO

### Squares and roots of 600

• 600 squared (6002) is 360000
• 600 cubed (6003) is 216000000
• The square root of 600 is 24.4948974279
• The cube root of 600 is 8.4343266529

### Scales and comparisons

How big is 600?
• 600 seconds is equal to 10 minutes.
• To count from 1 to 600 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 600 cubic inches would be around 0.7 feet tall.

### Recreational maths with 600

• 600 backwards is 006
• 600 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 600's digits is 6
• More coming soon!