The number 36017
36017 is the 3828th prime number. Its only divisors are 1 and 36017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36017: the 3828th prime number.
- 2
36017 is prime, so its only factors are 1 and 36017. It is the 3828th prime; the next prime is 36037 and the one before is 36013.
- 3
The divisors add up to 36018; without 36017 itself that is 1, so 36017 is deficient (1 is less than 36017). Euler's totient φ(36017) = 36016 numbers up to 36017 share no factor with it.
- 4
The digits of 36017 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
36017 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36018 |
| Euler totient φ(n) | 36016 |
| Square | 1297224289 |
| Cube | 46722127216913 |
| Square root | 189.781453 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.6017 × |
36017 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and seventeen |
| Binary (base 2) | 1000110010110001 |
| Octal (base 8) | 106261 |
| Hexadecimal (base 16) | 8CB1 |
| Base 3 | 1211101222 |
| As time | 36017 seconds = 10 h 0 min 17 s |
Is 36017 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36017 a prime number?
Yes. 36017 is divisible only by 1 and itself.
What are the factors of 36017?
1, 36017.
What is 36017 in binary?
1000110010110001 (hexadecimal 8CB1, octal 106261).
What is the square root of 36017?
About 189.7815.
Is 36017 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 36017?
36017 is the 3828th prime number.