The number 17073
17073 is a composite number with 12 divisors. Its prime factorisation is × 7 × 271. Divisors (12): 1, 3, 7, 9, 21, 63, 271, 813, 1897, 2439, 5691, 17073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17073 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17073 is composite. Its prime factorisation is
- 3
The divisors add up to 28288; without 17073 itself that is 11215, so 17073 is deficient (11215 is less than 17073). Euler's totient φ(17073) = 9720 numbers up to 17073 share no factor with it.
- 4
The digits of 17073 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17073 = 3^{2} \times 7 \times 271 \]17073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 28288 |
| Euler totient φ(n) | 9720 |
| Square | 291487329 |
| Cube | 4976563168017 |
| Square root | 130.663690 (= 3√1897) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.7073 × |
17073 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and seventy-three |
| Binary (base 2) | 100001010110001 |
| Octal (base 8) | 41261 |
| Hexadecimal (base 16) | 42B1 |
| Base 3 | 212102100 |
| As time | 17073 seconds = 4 h 44 min 33 s |
Is 17073 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 | Yes (17073 ÷ 3 = 5691) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (17073 ÷ 7 = 2439) | 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 | Yes (17073 ÷ 9 = 1897) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17073 a prime number?
No. 17073 = × 7 × 271, so it is divisible by 3.
What are the factors of 17073?
1, 3, 7, 9, 21, 63, 271, 813, 1897, 2439, 5691, 17073.
What is 17073 in binary?
100001010110001 (hexadecimal 42B1, octal 41261).
What is the square root of 17073?
About 130.6637, exactly 3√1897.
Is 17073 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 17073?
It is a composite number with 12 divisors.