# 8000

## 8,000 is an even composite number composed of two prime numbers multiplied together.

What does the number 8000 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 28 divisors.

8000 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

## Prime factorization of 8000:

### 26 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 8000 from the Numbermatics database.

### Names of 8000

• Cardinal: 8000 can be written as Eight thousand.

### Scientific notation

• Scientific notation: 8 × 103

### Factors of 8000

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 7

### Divisors of 8000

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 19812
• Sum of proper divisors (its aliquot sum) s(n): 11812
• 8000 is an abundant number, because the sum of its proper divisors (11812) is greater than itself. Its abundance is 3812

### Bases of 8000

• Binary: 11111010000002
• Base-36: 668

### Squares and roots of 8000

• 8000 squared (80002) is 64000000
• 8000 cubed (80003) is 512000000000
• The square root of 8000 is 89.4427190999
• 8000 is a perfect cube number. Its cube root is 20

### Scales and comparisons

How big is 8000?
• 8,000 seconds is equal to 2 hours, 13 minutes, 20 seconds.
• To count from 1 to 8,000 would take you about two hours.

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 8000 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8000

• 8000 backwards is 0008
• 8000 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 8000's digits is 8
• More coming soon!