# 313

## 313 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 313 look like?

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

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

## Prime factorization of 313:

### 313

See below for interesting mathematical facts about the number 313 from the Numbermatics database.

### Names of 313

• Cardinal: 313 can be written as Three hundred thirteen.

### Scientific notation

• Scientific notation: 3.13 × 102

### Factors of 313

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 313

### Divisors of 313

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 314
• Sum of proper divisors (its aliquot sum) s(n): 1
• 313 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 312

### Bases of 313

• Binary: 1001110012
• Base-36: 8P

### Squares and roots of 313

• 313 squared (3132) is 97969
• 313 cubed (3133) is 30664297
• The square root of 313 is 17.6918060131
• The cube root of 313 is 6.7896613363

### Scales and comparisons

How big is 313?
• 313 seconds is equal to 5 minutes, 13 seconds.
• To count from 1 to 313 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 313 cubic inches would be around 0.6 feet tall.

### Recreational maths with 313

• 313 is the same when its digits are reversed! That makes it a palindromic prime number.
• The number of decimal digits it has is: 3
• The sum of 313's digits is 7
• More coming soon!