The number 27367
27367 is the 2993rd prime number. Its only divisors are 1 and 27367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27367: the 2993rd prime number.
- 2
27367 is prime, so its only factors are 1 and 27367. It is the 2993rd prime; the next prime is 27397 and the one before is 27361.
- 3
The divisors add up to 27368; without 27367 itself that is 1, so 27367 is deficient (1 is less than 27367). Euler's totient φ(27367) = 27366 numbers up to 27367 share no factor with it.
- 4
The digits of 27367 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 144 steps to reach 1.
27367 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27368 |
| Euler totient φ(n) | 27366 |
| Square | 748952689 |
| Cube | 20496588239863 |
| Square root | 165.429743 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.7367 × |
27367 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and sixty-seven |
| Binary (base 2) | 110101011100111 |
| Octal (base 8) | 65347 |
| Hexadecimal (base 16) | 6AE7 |
| Base 3 | 1101112121 |
| As time | 27367 seconds = 7 h 36 min 7 s |
Is 27367 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 4) | 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 10) | 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 27367 a prime number?
Yes. 27367 is divisible only by 1 and itself.
What are the factors of 27367?
1, 27367.
What is 27367 in binary?
110101011100111 (hexadecimal 6AE7, octal 65347).
What is the square root of 27367?
About 165.4297.
Is 27367 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 27367?
27367 is the 2993rd prime number.