# 808

## 808 is an even composite number composed of two prime numbers multiplied together.

What does the number 808 look like?

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

808 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 808:

### 23 × 101

(2 × 2 × 2 × 101)

See below for interesting mathematical facts about the number 808 from the Numbermatics database.

### Names of 808

• Cardinal: 808 can be written as Eight hundred eight.

### Scientific notation

• Scientific notation: 8.08 × 102

### Factors of 808

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 103

### Divisors of 808

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1530
• Sum of proper divisors (its aliquot sum) s(n): 722
• 808 is a deficient number, because the sum of its proper divisors (722) is less than itself. Its deficiency is 86

### Bases of 808

• Binary: 11001010002
• Base-36: MG

### Squares and roots of 808

• 808 squared (8082) is 652864
• 808 cubed (8083) is 527514112
• The square root of 808 is 28.4253408073
• The cube root of 808 is 9.3140190157

### Scales and comparisons

How big is 808?
• 808 seconds is equal to 13 minutes, 28 seconds.
• To count from 1 to 808 would take you about six 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 808 cubic inches would be around 0.8 feet tall.

### Recreational maths with 808

• 808 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 3
• The sum of 808's digits is 16
• More coming soon!