# 5000

## 5,000 is an even composite number composed of two prime numbers multiplied together.

What does the number 5000 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 20 divisors.

5000 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 5000:

### 23 × 54

(2 × 2 × 2 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 5000 from the Numbermatics database.

### Names of 5000

• Cardinal: 5000 can be written as Five thousand.

### Scientific notation

• Scientific notation: 5 × 103

### Factors of 5000

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

### Divisors of 5000

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 11715
• Sum of proper divisors (its aliquot sum) s(n): 6715
• 5000 is an abundant number, because the sum of its proper divisors (6715) is greater than itself. Its abundance is 1715

### Bases of 5000

• Binary: 10011100010002
• Base-36: 3UW

### Squares and roots of 5000

• 5000 squared (50002) is 25000000
• 5000 cubed (50003) is 125000000000
• The square root of 5000 is 70.7106781187
• The cube root of 5000 is 17.0997594667

### Scales and comparisons

How big is 5000?
• 5,000 seconds is equal to 23 minutes, 20 seconds.
• To count from 1 to 5,000 would take you about twenty-three 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 5000 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5000

• 5000 backwards is 0005
• 5000 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5000's digits is 5
• More coming soon!