# 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!