# 331

## 331 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 331 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

331 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 331:

### 331

See below for interesting mathematical facts about the number 331 from the Numbermatics database.

### Names of 331

• Cardinal: 331 can be written as Three hundred thirty-one.

### Scientific notation

• Scientific notation: 3.31 × 102

### Factors of 331

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 331

### Divisors of 331

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 332
• Sum of proper divisors (its aliquot sum) s(n): 1
• 331 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 330

### Bases of 331

• Binary: 1010010112
• Base-36: 97

### Squares and roots of 331

• 331 squared (3312) is 109561
• 331 cubed (3313) is 36264691
• The square root of 331 is 18.1934053987
• The cube root of 331 is 6.9173964165

### Scales and comparisons

How big is 331?
• 331 seconds is equal to 5 minutes, 31 seconds.
• To count from 1 to 331 would take you about two 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 331 cubic inches would be around 0.6 feet tall.

### Recreational maths with 331

• 331 backwards is 133
• The number of decimal digits it has is: 3
• The sum of 331's digits is 7
• More coming soon!