The number 8585
8585 is a composite number with 8 divisors. Its prime factorisation is 5 × 17 × 101. Divisors (8): 1, 5, 17, 85, 101, 505, 1717, 8585.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8585 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8585 is composite. Its prime factorisation is
- 3
The divisors add up to 11016; without 8585 itself that is 2431, so 8585 is deficient (2431 is less than 8585). Euler's totient φ(8585) = 6400 numbers up to 8585 share no factor with it.
- 4
The digits of 8585 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8585 = 5 \times 17 \times 101 \]
8585 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11016 |
| Euler totient φ(n) | 6400 |
| Square | 73702225 |
| Cube | 632733601625 |
| Square root | 92.655275 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 171 |
| Scientific notation | 8.585 × |
8585 in other forms
| Form | Value |
|---|---|
| In words | eight thousand five hundred and eighty-five |
| Binary (base 2) | 10000110001001 |
| Octal (base 8) | 20611 |
| Hexadecimal (base 16) | 2189 |
| Base 3 | 102202222 |
| As time | 8585 seconds = 2 h 23 min 5 s |
Is 8585 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 | Yes (8585 ÷ 5 = 1717) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 8585 a prime number?
No. 8585 = 5 × 17 × 101, so it is divisible by 5.
What are the factors of 8585?
1, 5, 17, 85, 101, 505, 1717, 8585.
What is 8585 in binary?
10000110001001 (hexadecimal 2189, octal 20611).
What is the square root of 8585?
About 92.6553.
Is 8585 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 8585?
It is a composite number with 8 divisors.