The number 9067
9067 is the 1127th prime number. Its only divisors are 1 and 9067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9067: the 1127th prime number.
- 2
9067 is prime, so its only factors are 1 and 9067. It is the 1127th prime; the next prime is 9091 and the one before is 9059.
- 3
The divisors add up to 9068; without 9067 itself that is 1, so 9067 is deficient (1 is less than 9067). Euler's totient φ(9067) = 9066 numbers up to 9067 share no factor with it.
- 4
The digits of 9067 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
9067 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9068 |
| Euler totient φ(n) | 9066 |
| Square | 82210489 |
| Cube | 745402503763 |
| Square root | 95.220796 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.067 × |
9067 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and sixty-seven |
| Binary (base 2) | 10001101101011 |
| Octal (base 8) | 21553 |
| Hexadecimal (base 16) | 236B |
| Base 3 | 110102211 |
| As time | 9067 seconds = 2 h 31 min 7 s |
Is 9067 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 9067 a prime number?
Yes. 9067 is divisible only by 1 and itself.
What are the factors of 9067?
1, 9067.
What is 9067 in binary?
10001101101011 (hexadecimal 236B, octal 21553).
What is the square root of 9067?
About 95.2208.
Is 9067 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9067?
9067 is the 1127th prime number.