The number 17327
17327 is the 1992nd prime number. Its only divisors are 1 and 17327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17327: the 1992nd prime number.
- 2
17327 is prime, so its only factors are 1 and 17327. It is the 1992nd prime; the next prime is 17333 and the one before is 17321.
- 3
The divisors add up to 17328; without 17327 itself that is 1, so 17327 is deficient (1 is less than 17327). Euler's totient φ(17327) = 17326 numbers up to 17327 share no factor with it.
- 4
The digits of 17327 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
17327 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17328 |
| Euler totient φ(n) | 17326 |
| Square | 300224929 |
| Cube | 5201997344783 |
| Square root | 131.632063 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.7327 × |
17327 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and twenty-seven |
| Binary (base 2) | 100001110101111 |
| Octal (base 8) | 41657 |
| Hexadecimal (base 16) | 43AF |
| Base 3 | 212202202 |
| As time | 17327 seconds = 4 h 48 min 47 s |
Is 17327 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 2) | 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 2) | 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 2) | 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 17327 a prime number?
Yes. 17327 is divisible only by 1 and itself.
What are the factors of 17327?
1, 17327.
What is 17327 in binary?
100001110101111 (hexadecimal 43AF, octal 41657).
What is the square root of 17327?
About 131.6321.
Is 17327 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 17327?
17327 is the 1992nd prime number.