The number 38767
38767 is the 4086th prime number. Its only divisors are 1 and 38767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38767: the 4086th prime number.
- 2
38767 is prime, so its only factors are 1 and 38767. It is the 4086th prime; the next prime is 38783 and the one before is 38749.
- 3
The divisors add up to 38768; without 38767 itself that is 1, so 38767 is deficient (1 is less than 38767). Euler's totient φ(38767) = 38766 numbers up to 38767 share no factor with it.
- 4
The digits of 38767 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 155 steps to reach 1.
38767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38768 |
| Euler totient φ(n) | 38766 |
| Square | 1502880289 |
| Cube | 58262160163663 |
| Square root | 196.893372 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.8767 × |
38767 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and sixty-seven |
| Binary (base 2) | 1001011101101111 |
| Octal (base 8) | 113557 |
| Hexadecimal (base 16) | 976F |
| Base 3 | 1222011211 |
| As time | 38767 seconds = 10 h 46 min 7 s |
Is 38767 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 1) | 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 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 38767 a prime number?
Yes. 38767 is divisible only by 1 and itself.
What are the factors of 38767?
1, 38767.
What is 38767 in binary?
1001011101101111 (hexadecimal 976F, octal 113557).
What is the square root of 38767?
About 196.8934.
Is 38767 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 38767?
38767 is the 4086th prime number.