The number 47317
47317 is the 4880th prime number. Its only divisors are 1 and 47317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47317: the 4880th prime number.
- 2
47317 is prime, so its only factors are 1 and 47317. It is the 4880th prime; the next prime is 47339 and the one before is 47309.
- 3
The divisors add up to 47318; without 47317 itself that is 1, so 47317 is deficient (1 is less than 47317). Euler's totient φ(47317) = 47316 numbers up to 47317 share no factor with it.
- 4
The digits of 47317 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
47317 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47318 |
| Euler totient φ(n) | 47316 |
| Square | 2238898489 |
| Cube | 105937959804013 |
| Square root | 217.524711 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7317 × |
47317 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and seventeen |
| Binary (base 2) | 1011100011010101 |
| Octal (base 8) | 134325 |
| Hexadecimal (base 16) | B8D5 |
| Base 3 | 2101220111 |
| As time | 47317 seconds = 13 h 8 min 37 s |
Is 47317 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 4) | 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 4) | 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 6) | 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 47317 a prime number?
Yes. 47317 is divisible only by 1 and itself.
What are the factors of 47317?
1, 47317.
What is 47317 in binary?
1011100011010101 (hexadecimal B8D5, octal 134325).
What is the square root of 47317?
About 217.5247.
Is 47317 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47317?
47317 is the 4880th prime number.