The number 17489
17489 is a twin prime (17489 and 17491 are both prime) and the 2012th prime number. Its only divisors are 1 and 17489.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17489: a twin prime (17489 and 17491 are both prime); the 2012th prime number.
- 2
17489 is prime, so its only factors are 1 and 17489. It is the 2012th prime; the next prime is 17491 and the one before is 17483.
- 3
The divisors add up to 17490; without 17489 itself that is 1, so 17489 is deficient (1 is less than 17489). Euler's totient φ(17489) = 17488 numbers up to 17489 share no factor with it.
- 4
The digits of 17489 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
17489 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17490 |
| Euler totient φ(n) | 17488 |
| Square | 305865121 |
| Cube | 5349275101169 |
| Square root | 132.245983 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.7489 × |
17489 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and eighty-nine |
| Binary (base 2) | 100010001010001 |
| Octal (base 8) | 42121 |
| Hexadecimal (base 16) | 4451 |
| Base 3 | 212222202 |
| As time | 17489 seconds = 4 h 51 min 29 s |
Is 17489 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 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 2) | 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 10) | 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 17489 a prime number?
Yes. 17489 is divisible only by 1 and itself.
What are the factors of 17489?
1, 17489.
What is 17489 in binary?
100010001010001 (hexadecimal 4451, octal 42121).
What is the square root of 17489?
About 132.2460.
Is 17489 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 17489?
17489 is a twin prime (17489 and 17491 are both prime); the 2012th prime number.