# 9008

## 9,008 is an even composite number composed of two prime numbers multiplied together.

What does the number 9008 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

9008 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 9008:

### 24 × 563

(2 × 2 × 2 × 2 × 563)

See below for interesting mathematical facts about the number 9008 from the Numbermatics database.

### Names of 9008

• Cardinal: 9008 can be written as Nine thousand and eight.

### Scientific notation

• Scientific notation: 9.008 × 103

### Factors of 9008

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 565

### Divisors of 9008

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 17484
• Sum of proper divisors (its aliquot sum) s(n): 8476
• 9008 is a deficient number, because the sum of its proper divisors (8476) is less than itself. Its deficiency is 532

### Bases of 9008

• Binary: 100011001100002
• Base-36: 6Y8

### Squares and roots of 9008

• 9008 squared (90082) is 81144064
• 9008 cubed (90083) is 730945728512
• The square root of 9008 is 94.9104841417
• The cube root of 9008 is 20.8069996167

### Scales and comparisons

How big is 9008?
• 9,008 seconds is equal to 2 hours, 30 minutes, 8 seconds.
• To count from 1 to 9,008 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 9008 cubic inches would be around 1.7 feet tall.

### Recreational maths with 9008

• 9008 backwards is 8009
• The number of decimal digits it has is: 4
• The sum of 9008's digits is 17
• More coming soon!