The number 27239
27239 is a twin prime (27239 and 27241 are both prime) and the 2981st prime number. Its only divisors are 1 and 27239.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27239: a twin prime (27239 and 27241 are both prime); the 2981st prime number.
- 2
27239 is prime, so its only factors are 1 and 27239. It is the 2981st prime; the next prime is 27241 and the one before is 27211.
- 3
The divisors add up to 27240; without 27239 itself that is 1, so 27239 is deficient (1 is less than 27239). Euler's totient φ(27239) = 27238 numbers up to 27239 share no factor with it.
- 4
The digits of 27239 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
27239 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27240 |
| Euler totient φ(n) | 27238 |
| Square | 741963121 |
| Cube | 20210333452919 |
| Square root | 165.042419 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.7239 × |
27239 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and thirty-nine |
| Binary (base 2) | 110101001100111 |
| Octal (base 8) | 65147 |
| Hexadecimal (base 16) | 6A67 |
| Base 3 | 1101100212 |
| As time | 27239 seconds = 7 h 33 min 59 s |
Is 27239 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 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27239 a prime number?
Yes. 27239 is divisible only by 1 and itself.
What are the factors of 27239?
1, 27239.
What is 27239 in binary?
110101001100111 (hexadecimal 6A67, octal 65147).
What is the square root of 27239?
About 165.0424.
Is 27239 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27239?
27239 is a twin prime (27239 and 27241 are both prime); the 2981st prime number.