The number 17082
17082 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 73. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 73, 78, 117, 146, 219, 234, 438 … 17082.
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How to work it out
- 1
What is special about 17082: a Harshad number: divisible by its digit sum 18.
- 2
17082 is composite. Its prime factorisation is
- 3
The divisors add up to 40404; without 17082 itself that is 23322, so 17082 is abundant (23322 is more than 17082). Euler's totient φ(17082) = 5184 numbers up to 17082 share no factor with it.
- 4
The digits of 17082 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17082 = 2 \times 3^{2} \times 13 \times 73 \]17082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 40404 |
| Euler totient φ(n) | 5184 |
| Square | 291794724 |
| Cube | 4984437475368 |
| Square root | 130.698125 (= 3√1898) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.7082 × |
17082 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and eighty-two |
| Binary (base 2) | 100001010111010 |
| Octal (base 8) | 41272 |
| Hexadecimal (base 16) | 42BA |
| Base 3 | 212102200 |
| As time | 17082 seconds = 4 h 44 min 42 s |
Is 17082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17082 ÷ 2 = 8541) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17082 ÷ 3 = 5694) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (17082 ÷ 6 = 2847) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (17082 ÷ 9 = 1898) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17082 a prime number?
No. 17082 = 2 × × 13 × 73, so it is divisible by 2.
What are the factors of 17082?
1, 2, 3, 6, 9, 13, 18, 26, 39, 73, 78, 117, 146, 219, 234, 438, 657, 949, 1314, 1898, 2847, 5694, 8541, 17082.
What is 17082 in binary?
100001010111010 (hexadecimal 42BA, octal 41272).
What is the square root of 17082?
About 130.6981, exactly 3√1898.
Is 17082 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 17082?
17082 is a Harshad number: divisible by its digit sum 18.