# 9000

## 9,000 is an even composite number composed of three prime numbers multiplied together.

What does the number 9000 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

9000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 9000:

### 23 × 32 × 53

(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 9000 from the Numbermatics database.

### Names of 9000

• Cardinal: 9000 can be written as Nine thousand.

### Scientific notation

• Scientific notation: 9 × 103

### Factors of 9000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 10

### Divisors of 9000

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 30420
• Sum of proper divisors (its aliquot sum) s(n): 21420
• 9000 is an abundant number, because the sum of its proper divisors (21420) is greater than itself. Its abundance is 12420

### Bases of 9000

• Binary: 100011001010002
• Base-36: 6Y0

### Squares and roots of 9000

• 9000 squared (90002) is 81000000
• 9000 cubed (90003) is 729000000000
• The square root of 9000 is 94.8683298051
• The cube root of 9000 is 20.8008382305

### Scales and comparisons

How big is 9000?
• 9,000 seconds is equal to 2 hours, 30 minutes.
• To count from 1 to 9,000 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 9000 cubic inches would be around 1.7 feet tall.

### Recreational maths with 9000

• 9000 backwards is 0009
• 9000 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 9000's digits is 9
• More coming soon!