The number 17085
17085 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 17 × 67. Divisors (16): 1, 3, 5, 15, 17, 51, 67, 85, 201, 255, 335, 1005, 1139, 3417, 5695, 17085.
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How to work it out
- 1
What is special about 17085: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17085 is composite. Its prime factorisation is
- 3
The divisors add up to 29376; without 17085 itself that is 12291, so 17085 is deficient (12291 is less than 17085). Euler's totient φ(17085) = 8448 numbers up to 17085 share no factor with it.
- 4
The digits of 17085 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17085 = 3 \times 5 \times 17 \times 67 \]
17085 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 29376 |
| Euler totient φ(n) | 8448 |
| Square | 291897225 |
| Cube | 4987064089125 |
| Square root | 130.709602 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.7085 × |
17085 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and eighty-five |
| Binary (base 2) | 100001010111101 |
| Octal (base 8) | 41275 |
| Hexadecimal (base 16) | 42BD |
| Base 3 | 212102210 |
| As time | 17085 seconds = 4 h 44 min 45 s |
Is 17085 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 (17085 ÷ 3 = 5695) | 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 | Yes (17085 ÷ 5 = 3417) | 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 | No (remainder 5) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 17085 a prime number?
No. 17085 = 3 × 5 × 17 × 67, so it is divisible by 3.
What are the factors of 17085?
1, 3, 5, 15, 17, 51, 67, 85, 201, 255, 335, 1005, 1139, 3417, 5695, 17085.
What is 17085 in binary?
100001010111101 (hexadecimal 42BD, octal 41275).
What is the square root of 17085?
About 130.7096.
Is 17085 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 17085?
17085 is a happy number: repeatedly adding the squares of its digits reaches 1.