# 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!

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Numbermatics. (2023). Number 8000 - Facts about the integer. Retrieved 3 February 2023, from https://numbermatics.com/n/8000/

Chicago style:
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The information we have on file for 8000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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