The number 36787
36787 is the 3901st prime number. Its only divisors are 1 and 36787.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36787: the 3901st prime number.
- 2
36787 is prime, so its only factors are 1 and 36787. It is the 3901st prime; the next prime is 36791 and the one before is 36781.
- 3
The divisors add up to 36788; without 36787 itself that is 1, so 36787 is deficient (1 is less than 36787). Euler's totient φ(36787) = 36786 numbers up to 36787 share no factor with it.
- 4
The digits of 36787 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
36787 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36788 |
| Euler totient φ(n) | 36786 |
| Square | 1353283369 |
| Cube | 49783235295403 |
| Square root | 191.799374 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.6787 × |
36787 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and eighty-seven |
| Binary (base 2) | 1000111110110011 |
| Octal (base 8) | 107663 |
| Hexadecimal (base 16) | 8FB3 |
| Base 3 | 1212110111 |
| As time | 36787 seconds = 10 h 13 min 7 s |
Is 36787 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 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 1) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36787 a prime number?
Yes. 36787 is divisible only by 1 and itself.
What are the factors of 36787?
1, 36787.
What is 36787 in binary?
1000111110110011 (hexadecimal 8FB3, octal 107663).
What is the square root of 36787?
About 191.7994.
Is 36787 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 36787?
36787 is the 3901st prime number.