# 1008

## 1,008 is an even composite number composed of three prime numbers multiplied together.

What does the number 1008 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

1008 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 1008:

### 24 × 32 × 7

(2 × 2 × 2 × 2 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 1008 from the Numbermatics database.

### Names of 1008

• Cardinal: 1008 can be written as One thousand and eight.

### Scientific notation

• Scientific notation: 1.008 × 103

### Factors of 1008

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 12

### Divisors of 1008

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 3224
• Sum of proper divisors (its aliquot sum) s(n): 2216
• 1008 is an abundant number, because the sum of its proper divisors (2216) is greater than itself. Its abundance is 1208

### Bases of 1008

• Binary: 11111100002
• Base-36: S0

### Squares and roots of 1008

• 1008 squared (10082) is 1016064
• 1008 cubed (10083) is 1024192512
• The square root of 1008 is 31.7490157327
• The cube root of 1008 is 10.0265958699

### Scales and comparisons

How big is 1008?
• 1,008 seconds is equal to 16 minutes, 48 seconds.
• To count from 1 to 1,008 would take you about sixteen 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 1008 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1008

• 1008 backwards is 8001
• 1008 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1008's digits is 9
• More coming soon!