# 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!