The number 27067
27067 is the 2968th prime number. Its only divisors are 1 and 27067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27067: the 2968th prime number.
- 2
27067 is prime, so its only factors are 1 and 27067. It is the 2968th prime; the next prime is 27073 and the one before is 27061.
- 3
The divisors add up to 27068; without 27067 itself that is 1, so 27067 is deficient (1 is less than 27067). Euler's totient φ(27067) = 27066 numbers up to 27067 share no factor with it.
- 4
The digits of 27067 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 90 steps to reach 1.
27067 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27068 |
| Euler totient φ(n) | 27066 |
| Square | 732622489 |
| Cube | 19829892909763 |
| Square root | 164.520515 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7067 × |
27067 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and sixty-seven |
| Binary (base 2) | 110100110111011 |
| Octal (base 8) | 64673 |
| Hexadecimal (base 16) | 69BB |
| Base 3 | 1101010111 |
| As time | 27067 seconds = 7 h 31 min 7 s |
Is 27067 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 5) | 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 7) | 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 27067 a prime number?
Yes. 27067 is divisible only by 1 and itself.
What are the factors of 27067?
1, 27067.
What is 27067 in binary?
110100110111011 (hexadecimal 69BB, octal 64673).
What is the square root of 27067?
About 164.5205.
Is 27067 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27067?
27067 is the 2968th prime number.