# 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!

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"Number 1008 - Facts about the integer". Numbermatics.com. 2022. Web. 29 May 2022.

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Numbermatics. (2022). Number 1008 - Facts about the integer. Retrieved 29 May 2022, from https://numbermatics.com/n/1008/

Chicago style:
Numbermatics. 2022. "Number 1008 - Facts about the integer". https://numbermatics.com/n/1008/

The information we have on file for 1008 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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