# 2311

## 2,311 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 2311 look like?

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

2311 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2311:

### 2311

See below for interesting mathematical facts about the number 2311 from the Numbermatics database.

### Names of 2311

• Cardinal: 2311 can be written as Two thousand, three hundred eleven.

### Scientific notation

• Scientific notation: 2.311 × 103

### Factors of 2311

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2311

### Divisors of 2311

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2312
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2311 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2310

### Bases of 2311

• Binary: 1001000001112
• Base-36: 1S7

### Squares and roots of 2311

• 2311 squared (23112) is 5340721
• 2311 cubed (23113) is 12342406231
• The square root of 2311 is 48.0728613669
• The cube root of 2311 is 13.2210713349

### Scales and comparisons

How big is 2311?
• 2,311 seconds is equal to 38 minutes, 31 seconds.
• To count from 1 to 2,311 would take you about thirty-eight 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 2311 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2311

• 2311 backwards is 1132
• The number of decimal digits it has is: 4
• The sum of 2311's digits is 7
• More coming soon!