The number 17341
17341 is the 1994th prime number. Its only divisors are 1 and 17341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17341: the 1994th prime number.
- 2
17341 is prime, so its only factors are 1 and 17341. It is the 1994th prime; the next prime is 17351 and the one before is 17333.
- 3
The divisors add up to 17342; without 17341 itself that is 1, so 17341 is deficient (1 is less than 17341). Euler's totient φ(17341) = 17340 numbers up to 17341 share no factor with it.
- 4
The digits of 17341 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
17341 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17342 |
| Euler totient φ(n) | 17340 |
| Square | 300710281 |
| Cube | 5214616982821 |
| Square root | 131.685231 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.7341 × |
17341 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and forty-one |
| Binary (base 2) | 100001110111101 |
| Octal (base 8) | 41675 |
| Hexadecimal (base 16) | 43BD |
| Base 3 | 212210021 |
| As time | 17341 seconds = 4 h 49 min 1 s |
Is 17341 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 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 1) | 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 5) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17341 a prime number?
Yes. 17341 is divisible only by 1 and itself.
What are the factors of 17341?
1, 17341.
What is 17341 in binary?
100001110111101 (hexadecimal 43BD, octal 41675).
What is the square root of 17341?
About 131.6852.
Is 17341 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17341?
17341 is the 1994th prime number.