The number 27329
27329 is the 2990th prime number. Its only divisors are 1 and 27329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27329: the 2990th prime number.
- 2
27329 is prime, so its only factors are 1 and 27329. It is the 2990th prime; the next prime is 27337 and the one before is 27299.
- 3
The divisors add up to 27330; without 27329 itself that is 1, so 27329 is deficient (1 is less than 27329). Euler's totient φ(27329) = 27328 numbers up to 27329 share no factor with it.
- 4
The digits of 27329 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 152 steps to reach 1.
27329 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27330 |
| Euler totient φ(n) | 27328 |
| Square | 746874241 |
| Cube | 20411326132289 |
| Square root | 165.314851 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7329 × |
27329 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and twenty-nine |
| Binary (base 2) | 110101011000001 |
| Octal (base 8) | 65301 |
| Hexadecimal (base 16) | 6AC1 |
| Base 3 | 1101111012 |
| As time | 27329 seconds = 7 h 35 min 29 s |
Is 27329 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 1) | 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 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 1) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27329 a prime number?
Yes. 27329 is divisible only by 1 and itself.
What are the factors of 27329?
1, 27329.
What is 27329 in binary?
110101011000001 (hexadecimal 6AC1, octal 65301).
What is the square root of 27329?
About 165.3149.
Is 27329 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27329?
27329 is the 2990th prime number.