# 208

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

What does the number 208 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

208 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 208:

### 24 × 13

(2 × 2 × 2 × 2 × 13)

See below for interesting mathematical facts about the number 208 from the Numbermatics database.

### Names of 208

• Cardinal: 208 can be written as Two hundred eight.

### Scientific notation

• Scientific notation: 2.08 × 102

### Factors of 208

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 15

### Divisors of 208

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 434
• Sum of proper divisors (its aliquot sum) s(n): 226
• 208 is an abundant number, because the sum of its proper divisors (226) is greater than itself. Its abundance is 18

### Bases of 208

• Binary: 110100002
• Base-36: 5S

### Squares and roots of 208

• 208 squared (2082) is 43264
• 208 cubed (2083) is 8998912
• The square root of 208 is 14.4222051019
• The cube root of 208 is 5.9249921371

### Scales and comparisons

How big is 208?
• 208 seconds is equal to 3 minutes, 28 seconds.
• To count from 1 to 208 would take you about forty-four seconds.

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 208 cubic inches would be around 0.5 feet tall.

### Recreational maths with 208

• 208 backwards is 802
• The number of decimal digits it has is: 3
• The sum of 208's digits is 10
• More coming soon!