The number 17005
17005 is a composite number with 8 divisors. Its prime factorisation is 5 × 19 × 179. Divisors (8): 1, 5, 19, 95, 179, 895, 3401, 17005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17005 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 17005 itself that is 4595, so 17005 is deficient (4595 is less than 17005). Euler's totient φ(17005) = 12816 numbers up to 17005 share no factor with it.
- 4
The digits of 17005 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17005 = 5 \times 19 \times 179 \]
17005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 12816 |
| Square | 289170025 |
| Cube | 4917336275125 |
| Square root | 130.403221 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.7005 × |
17005 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and five |
| Binary (base 2) | 100001001101101 |
| Octal (base 8) | 41155 |
| Hexadecimal (base 16) | 426D |
| Base 3 | 212022211 |
| As time | 17005 seconds = 4 h 43 min 25 s |
Is 17005 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 1) | 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 (17005 ÷ 5 = 3401) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17005 a prime number?
No. 17005 = 5 × 19 × 179, so it is divisible by 5.
What are the factors of 17005?
1, 5, 19, 95, 179, 895, 3401, 17005.
What is 17005 in binary?
100001001101101 (hexadecimal 426D, octal 41155).
What is the square root of 17005?
About 130.4032.
Is 17005 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 17005?
It is a composite number with 8 divisors.