# 317

## 317 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 317 look like?

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

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

## Prime factorization of 317:

### 317

See below for interesting mathematical facts about the number 317 from the Numbermatics database.

### Names of 317

• Cardinal: 317 can be written as Three hundred seventeen.

### Scientific notation

• Scientific notation: 3.17 × 102

### Factors of 317

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 317

### Divisors of 317

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 318
• Sum of proper divisors (its aliquot sum) s(n): 1
• 317 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 316

### Bases of 317

• Binary: 1001111012
• Base-36: 8T

### Squares and roots of 317

• 317 squared (3172) is 100489
• 317 cubed (3173) is 31855013
• The square root of 317 is 17.8044938151
• The cube root of 317 is 6.8184619413

### Scales and comparisons

How big is 317?
• 317 seconds is equal to 5 minutes, 17 seconds.
• To count from 1 to 317 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 317 cubic inches would be around 0.6 feet tall.

### Recreational maths with 317

• 317 backwards is 713
• The number of decimal digits it has is: 3
• The sum of 317's digits is 11
• More coming soon!