# 4000

## 4,000 is an even composite number composed of two prime numbers multiplied together.

What does the number 4000 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 24 divisors.

4000 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 4000:

### 25 × 53

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 4000 from the Numbermatics database.

### Names of 4000

• Cardinal: 4000 can be written as Four thousand.

### Scientific notation

• Scientific notation: 4 × 103

### Factors of 4000

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 7

### Divisors of 4000

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 9828
• Sum of proper divisors (its aliquot sum) s(n): 5828
• 4000 is an abundant number, because the sum of its proper divisors (5828) is greater than itself. Its abundance is 1828

### Bases of 4000

• Binary: 1111101000002
• Base-36: 334

### Squares and roots of 4000

• 4000 squared (40002) is 16000000
• 4000 cubed (40003) is 64000000000
• The square root of 4000 is 63.2455532033
• The cube root of 4000 is 15.8740105197

### Scales and comparisons

How big is 4000?
• 4,000 seconds is equal to 1 hour, 6 minutes, 40 seconds.
• To count from 1 to 4,000 would take you about six 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 4000 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4000

• 4000 backwards is 0004
• 4000 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4000's digits is 4
• More coming soon!

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The information we have on file for 4000 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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