The number 17009
17009 is a composite number with 4 divisors. Its prime factorisation is 73 × 233. Divisors (4): 1, 73, 233, 17009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17009: a semiprime: 73 × 233, the product of two primes.
- 2
17009 is composite. Its prime factorisation is
- 3
The divisors add up to 17316; without 17009 itself that is 307, so 17009 is deficient (307 is less than 17009). Euler's totient φ(17009) = 16704 numbers up to 17009 share no factor with it.
- 4
The digits of 17009 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17009 = 73 \times 233 \]
17009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17316 |
| Euler totient φ(n) | 16704 |
| Square | 289306081 |
| Cube | 4920807131729 |
| Square root | 130.418557 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.7009 × |
17009 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and nine |
| Binary (base 2) | 100001001110001 |
| Octal (base 8) | 41161 |
| Hexadecimal (base 16) | 4271 |
| Base 3 | 212022222 |
| As time | 17009 seconds = 4 h 43 min 29 s |
Is 17009 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 6) | 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 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 3) | 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 17009 a prime number?
No. 17009 = 73 × 233, so it is divisible by 73.
What are the factors of 17009?
1, 73, 233, 17009.
What is 17009 in binary?
100001001110001 (hexadecimal 4271, octal 41161).
What is the square root of 17009?
About 130.4186.
Is 17009 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 17009?
17009 is a semiprime: 73 × 233, the product of two primes.