The number 17317
17317 is the 1990th prime number. Its only divisors are 1 and 17317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17317: the 1990th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17317 is prime, so its only factors are 1 and 17317. It is the 1990th prime; the next prime is 17321 and the one before is 17299.
- 3
The divisors add up to 17318; without 17317 itself that is 1, so 17317 is deficient (1 is less than 17317). Euler's totient φ(17317) = 17316 numbers up to 17317 share no factor with it.
- 4
The digits of 17317 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
17317 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17318 |
| Euler totient φ(n) | 17316 |
| Square | 299878489 |
| Cube | 5192995794013 |
| Square root | 131.594073 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.7317 × |
17317 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and seventeen |
| Binary (base 2) | 100001110100101 |
| Octal (base 8) | 41645 |
| Hexadecimal (base 16) | 43A5 |
| Base 3 | 212202101 |
| As time | 17317 seconds = 4 h 48 min 37 s |
Is 17317 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17317 a prime number?
Yes. 17317 is divisible only by 1 and itself.
What are the factors of 17317?
1, 17317.
What is 17317 in binary?
100001110100101 (hexadecimal 43A5, octal 41645).
What is the square root of 17317?
About 131.5941.
Is 17317 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 17317?
17317 is the 1990th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.