The number 17389
17389 is a twin prime (17387 and 17389 are both prime) and the 2000th prime number. Its only divisors are 1 and 17389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17389: a twin prime (17387 and 17389 are both prime); the 2000th prime number.
- 2
17389 is prime, so its only factors are 1 and 17389. It is the 2000th prime; the next prime is 17393 and the one before is 17387.
- 3
The divisors add up to 17390; without 17389 itself that is 1, so 17389 is deficient (1 is less than 17389). Euler's totient φ(17389) = 17388 numbers up to 17389 share no factor with it.
- 4
The digits of 17389 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 185 steps to reach 1.
17389 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17390 |
| Euler totient φ(n) | 17388 |
| Square | 302377321 |
| Cube | 5258039234869 |
| Square root | 131.867358 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.7389 × |
17389 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and eighty-nine |
| Binary (base 2) | 100001111101101 |
| Octal (base 8) | 41755 |
| Hexadecimal (base 16) | 43ED |
| Base 3 | 212212001 |
| As time | 17389 seconds = 4 h 49 min 49 s |
Is 17389 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 4) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | 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 17389 a prime number?
Yes. 17389 is divisible only by 1 and itself.
What are the factors of 17389?
1, 17389.
What is 17389 in binary?
100001111101101 (hexadecimal 43ED, octal 41755).
What is the square root of 17389?
About 131.8674.
Is 17389 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 17389?
17389 is a twin prime (17387 and 17389 are both prime); the 2000th prime number.