# 666

## 666 is an even composite number composed of three prime numbers multiplied together.

What does the number 666 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

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

## Prime factorization of 666:

### 2 × 32 × 37

(2 × 3 × 3 × 37)

See below for interesting mathematical facts about the number 666 from the Numbermatics database.

### Names of 666

• Cardinal: 666 can be written as Six hundred sixty-six.

### Scientific notation

• Scientific notation: 6.66 × 102

### Factors of 666

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 42

### Divisors of 666

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 1482
• Sum of proper divisors (its aliquot sum) s(n): 816
• 666 is an abundant number, because the sum of its proper divisors (816) is greater than itself. Its abundance is 150

### Bases of 666

• Binary: 10100110102
• Base-36: II

### Squares and roots of 666

• 666 squared (6662) is 443556
• 666 cubed (6663) is 295408296
• The square root of 666 is 25.8069758011
• The cube root of 666 is 8.7328917413

### Scales and comparisons

How big is 666?
• 666 seconds is equal to 11 minutes, 6 seconds.
• To count from 1 to 666 would take you about five 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 666 cubic inches would be around 0.7 feet tall.

### Recreational maths with 666

• 666 is the same when its digits are reversed! That makes it a palindromic number.
• 666 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 666's digits is 18
• More coming soon!

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Chicago style:
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The information we have on file for 666 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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