The number 17321
17321 is the 1991st prime number. Its only divisors are 1 and 17321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17321: the 1991st prime number.
- 2
17321 is prime, so its only factors are 1 and 17321. It is the 1991st prime; the next prime is 17327 and the one before is 17317.
- 3
The divisors add up to 17322; without 17321 itself that is 1, so 17321 is deficient (1 is less than 17321). Euler's totient φ(17321) = 17320 numbers up to 17321 share no factor with it.
- 4
The digits of 17321 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
17321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17322 |
| Euler totient φ(n) | 17320 |
| Square | 300017041 |
| Cube | 5196595167161 |
| Square root | 131.609270 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.7321 × |
17321 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and twenty-one |
| Binary (base 2) | 100001110101001 |
| Octal (base 8) | 41651 |
| Hexadecimal (base 16) | 43A9 |
| Base 3 | 212202112 |
| As time | 17321 seconds = 4 h 48 min 41 s |
Is 17321 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 1) | 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 3) | 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 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17321 a prime number?
Yes. 17321 is divisible only by 1 and itself.
What are the factors of 17321?
1, 17321.
What is 17321 in binary?
100001110101001 (hexadecimal 43A9, octal 41651).
What is the square root of 17321?
About 131.6093.
Is 17321 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 17321?
17321 is the 1991st prime number.