# 231

## 231 is an odd composite number composed of three prime numbers multiplied together.

What does the number 231 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

231 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 231:

### 3 × 7 × 11

See below for interesting mathematical facts about the number 231 from the Numbermatics database.

### Names of 231

• Cardinal: 231 can be written as Two hundred thirty-one.

### Scientific notation

• Scientific notation: 2.31 × 102

### Factors of 231

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 21

### Divisors of 231

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 384
• Sum of proper divisors (its aliquot sum) s(n): 153
• 231 is a deficient number, because the sum of its proper divisors (153) is less than itself. Its deficiency is 78

### Bases of 231

• Binary: 111001112
• Base-36: 6F

### Squares and roots of 231

• 231 squared (2312) is 53361
• 231 cubed (2313) is 12326391
• The square root of 231 is 15.1986841535
• The cube root of 231 is 6.1357924397

### Scales and comparisons

How big is 231?
• 231 seconds is equal to 3 minutes, 51 seconds.
• To count from 1 to 231 would take you about fifty-five 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 231 cubic inches would be around 0.5 feet tall.

### Recreational maths with 231

• 231 backwards is 132
• The number of decimal digits it has is: 3
• The sum of 231's digits is 6
• More coming soon!