# 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!

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

MLA style:
"Number 6000 - Facts about the integer". Numbermatics.com. 2022. Web. 26 September 2022.

APA style:
Numbermatics. (2022). Number 6000 - Facts about the integer. Retrieved 26 September 2022, from https://numbermatics.com/n/6000/

Chicago style:
Numbermatics. 2022. "Number 6000 - Facts about the integer". https://numbermatics.com/n/6000/

The information we have on file for 6000 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!

Keywords: Divisors of 6000, math, Factors of 6000, curriculum, school, college, exams, university, Prime factorization of 6000, STEM, science, technology, engineering, physics, economics, calculator, six thousand.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.