The number 50767
50767 is the 5201st prime number. Its only divisors are 1 and 50767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50767: the 5201st prime number.
- 2
50767 is prime, so its only factors are 1 and 50767. It is the 5201st prime; the next prime is 50773 and the one before is 50753.
- 3
The divisors add up to 50768; without 50767 itself that is 1, so 50767 is deficient (1 is less than 50767). Euler's totient φ(50767) = 50766 numbers up to 50767 share no factor with it.
- 4
The digits of 50767 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 246 steps to reach 1.
50767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50768 |
| Euler totient φ(n) | 50766 |
| Square | 2577288289 |
| Cube | 130841194567663 |
| Square root | 225.315335 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 246 |
| Scientific notation | 5.0767 × |
50767 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand seven hundred and sixty-seven |
| Binary (base 2) | 1100011001001111 |
| Octal (base 8) | 143117 |
| Hexadecimal (base 16) | C64F |
| Base 3 | 2120122021 |
| As time | 50767 seconds = 14 h 6 min 7 s |
Is 50767 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 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 7) | 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 2) | 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 50767 a prime number?
Yes. 50767 is divisible only by 1 and itself.
What are the factors of 50767?
1, 50767.
What is 50767 in binary?
1100011001001111 (hexadecimal C64F, octal 143117).
What is the square root of 50767?
About 225.3153.
Is 50767 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 50767?
50767 is the 5201st prime number.