The number 36767
36767 is the 3898th prime number. Its only divisors are 1 and 36767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36767: the 3898th prime number.
- 2
36767 is prime, so its only factors are 1 and 36767. It is the 3898th prime; the next prime is 36779 and the one before is 36761.
- 3
The divisors add up to 36768; without 36767 itself that is 1, so 36767 is deficient (1 is less than 36767). Euler's totient φ(36767) = 36766 numbers up to 36767 share no factor with it.
- 4
The digits of 36767 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
36767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36768 |
| Euler totient φ(n) | 36766 |
| Square | 1351812289 |
| Cube | 49702082429663 |
| Square root | 191.747229 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.6767 × |
36767 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and sixty-seven |
| Binary (base 2) | 1000111110011111 |
| Octal (base 8) | 107637 |
| Hexadecimal (base 16) | 8F9F |
| Base 3 | 1212102202 |
| As time | 36767 seconds = 10 h 12 min 47 s |
Is 36767 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 3) | 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 3) | 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 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36767 a prime number?
Yes. 36767 is divisible only by 1 and itself.
What are the factors of 36767?
1, 36767.
What is 36767 in binary?
1000111110011111 (hexadecimal 8F9F, octal 107637).
What is the square root of 36767?
About 191.7472.
Is 36767 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 36767?
36767 is the 3898th prime number.