# 311

## 311 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 311 look like?

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

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

## Prime factorization of 311:

### 311

See below for interesting mathematical facts about the number 311 from the Numbermatics database.

### Names of 311

• Cardinal: 311 can be written as Three hundred eleven.

### Scientific notation

• Scientific notation: 3.11 × 102

### Factors of 311

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 311

### Divisors of 311

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 312
• Sum of proper divisors (its aliquot sum) s(n): 1
• 311 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 310

### Bases of 311

• Binary: 1001101112
• Base-36: 8N

### Squares and roots of 311

• 311 squared (3112) is 96721
• 311 cubed (3113) is 30080231
• The square root of 311 is 17.6351920887
• The cube root of 311 is 6.7751689523

### Scales and comparisons

How big is 311?
• 311 seconds is equal to 5 minutes, 11 seconds.
• To count from 1 to 311 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 311 cubic inches would be around 0.6 feet tall.

### Recreational maths with 311

• 311 backwards is 113
• 311 is a twin prime! Its twin is 313
• The number of decimal digits it has is: 3
• The sum of 311's digits is 5
• More coming soon!