# 6000

## 6,000 is an even composite number composed of three prime numbers multiplied together.

What does the number 6000 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

6000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 6000:

### 24 × 3 × 53

(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 6000 from the Numbermatics database.

### Names of 6000

• Cardinal: 6000 can be written as Six thousand.

### Scientific notation

• Scientific notation: 6 × 103

### Factors of 6000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 10

### Divisors of 6000

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 19344
• Sum of proper divisors (its aliquot sum) s(n): 13344
• 6000 is an abundant number, because the sum of its proper divisors (13344) is greater than itself. Its abundance is 7344

### Bases of 6000

• Binary: 10111011100002
• Base-36: 4MO

### Squares and roots of 6000

• 6000 squared (60002) is 36000000
• 6000 cubed (60003) is 216000000000
• The square root of 6000 is 77.4596669241
• The cube root of 6000 is 18.1712059283

### Scales and comparisons

How big is 6000?
• 6,000 seconds is equal to 1 hour, 40 minutes.
• To count from 1 to 6,000 would take you about forty 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 6000 cubic inches would be around 1.5 feet tall.

### Recreational maths with 6000

• 6000 backwards is 0006
• 6000 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 6000's digits is 6
• More coming soon!