The number 17189
17189 is a twin prime (17189 and 17191 are both prime) and the 1979th prime number. Its only divisors are 1 and 17189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17189: a twin prime (17189 and 17191 are both prime); the 1979th prime number.
- 2
17189 is prime, so its only factors are 1 and 17189. It is the 1979th prime; the next prime is 17191 and the one before is 17183.
- 3
The divisors add up to 17190; without 17189 itself that is 1, so 17189 is deficient (1 is less than 17189). Euler's totient φ(17189) = 17188 numbers up to 17189 share no factor with it.
- 4
The digits of 17189 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
17189 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17190 |
| Euler totient φ(n) | 17188 |
| Square | 295461721 |
| Cube | 5078691522269 |
| Square root | 131.106827 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.7189 × |
17189 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and eighty-nine |
| Binary (base 2) | 100001100100101 |
| Octal (base 8) | 41445 |
| Hexadecimal (base 16) | 4325 |
| Base 3 | 212120122 |
| As time | 17189 seconds = 4 h 46 min 29 s |
Is 17189 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 4) | 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 8) | 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 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 17189 a prime number?
Yes. 17189 is divisible only by 1 and itself.
What are the factors of 17189?
1, 17189.
What is 17189 in binary?
100001100100101 (hexadecimal 4325, octal 41445).
What is the square root of 17189?
About 131.1068.
Is 17189 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 17189?
17189 is a twin prime (17189 and 17191 are both prime); the 1979th prime number.