# 2008

## 2,008 is an even composite number composed of two prime numbers multiplied together.

What does the number 2008 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

2008 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 2008:

### 23 × 251

(2 × 2 × 2 × 251)

See below for interesting mathematical facts about the number 2008 from the Numbermatics database.

### Names of 2008

• Cardinal: 2008 can be written as Two thousand and eight.

### Scientific notation

• Scientific notation: 2.008 × 103

### Factors of 2008

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 253

### Divisors of 2008

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 3780
• Sum of proper divisors (its aliquot sum) s(n): 1772
• 2008 is a deficient number, because the sum of its proper divisors (1772) is less than itself. Its deficiency is 236

### Bases of 2008

• Binary: 111110110002
• Base-36: 1JS

### Squares and roots of 2008

• 2008 squared (20082) is 4032064
• 2008 cubed (20083) is 8096384512
• The square root of 2008 is 44.8107130049
• The cube root of 2008 is 12.6159870973

### Scales and comparisons

How big is 2008?
• 2,008 seconds is equal to 33 minutes, 28 seconds.
• To count from 1 to 2,008 would take you about thirty-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 2008 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2008

• 2008 backwards is 8002
• The number of decimal digits it has is: 4
• The sum of 2008's digits is 10
• More coming soon!