# 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!

MLA style:
"Number 311 - Facts about the integer". Numbermatics.com. 2021. Web. 23 October 2021.

APA style:
Numbermatics. (2021). Number 311 - Facts about the integer. Retrieved 23 October 2021, from https://numbermatics.com/n/311/

Chicago style:
Numbermatics. 2021. "Number 311 - Facts about the integer". https://numbermatics.com/n/311/

The information we have on file for 311 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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