The number 317
317 is the 66th prime number. Its only divisors are 1 and 317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 317: the 66th prime number.
- 2
317 is prime, so its only factors are 1 and 317. It is the 66th prime; the next prime is 331 and the one before is 313.
- 3
The divisors add up to 318; without 317 itself that is 1, so 317 is deficient (1 is less than 317). Euler's totient φ(317) = 316 numbers up to 317 share no factor with it.
- 4
The digits of 317 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
317 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 318 |
| Euler totient φ(n) | 316 |
| Square | 100489 |
| Cube | 31855013 |
| Square root | 17.804494 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 3.17 × |
317 in other forms
| Form | Value |
|---|---|
| In words | three hundred and seventeen |
| Roman numerals | CCCXVII |
| Binary (base 2) | 100111101 |
| Octal (base 8) | 475 |
| Hexadecimal (base 16) | 13D |
| Base 3 | 102202 |
| As time | 317 seconds = 5 min 17 s |
Is 317 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 317 a prime number?
Yes. 317 is divisible only by 1 and itself.
What are the factors of 317?
1, 317.
What is 317 in binary?
100111101 (hexadecimal 13D, octal 475).
What is the square root of 317?
About 17.8045.
What is 317 in Roman numerals?
CCCXVII.
Is 317 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 317?
317 is the 66th prime number.