# 9002

## 9,002 is an even composite number composed of three prime numbers multiplied together.

What does the number 9002 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

9002 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 9002:

### 2 × 7 × 643

See below for interesting mathematical facts about the number 9002 from the Numbermatics database.

### Names of 9002

• Cardinal: 9002 can be written as Nine thousand and two.

### Scientific notation

• Scientific notation: 9.002 × 103

### Factors of 9002

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 652

### Divisors of 9002

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 15456
• Sum of proper divisors (its aliquot sum) s(n): 6454
• 9002 is a deficient number, because the sum of its proper divisors (6454) is less than itself. Its deficiency is 2548

### Bases of 9002

• Binary: 100011001010102
• Base-36: 6Y2

### Squares and roots of 9002

• 9002 squared (90022) is 81036004
• 9002 cubed (90023) is 729486108008
• The square root of 9002 is 94.8788701451
• The cube root of 9002 is 20.8023789193

### Scales and comparisons

How big is 9002?
• 9,002 seconds is equal to 2 hours, 30 minutes, 2 seconds.
• To count from 1 to 9,002 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 9002 cubic inches would be around 1.7 feet tall.

### Recreational maths with 9002

• 9002 backwards is 2009
• The number of decimal digits it has is: 4
• The sum of 9002's digits is 11
• More coming soon!