The number 42585
42585 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 17 × 167. Divisors (16): 1, 3, 5, 15, 17, 51, 85, 167, 255, 501, 835, 2505, 2839, 8517, 14195, 42585.
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How to work it out
- 1
42585 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42585 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 42585 itself that is 29991, so 42585 is deficient (29991 is less than 42585). Euler's totient φ(42585) = 21248 numbers up to 42585 share no factor with it.
- 4
The digits of 42585 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42585 = 3 \times 5 \times 17 \times 167 \]
42585 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 21248 |
| Square | 1813482225 |
| Cube | 77227140551625 |
| Square root | 206.361334 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2585 × |
42585 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and eighty-five |
| Binary (base 2) | 1010011001011001 |
| Octal (base 8) | 123131 |
| Hexadecimal (base 16) | A659 |
| Base 3 | 2011102020 |
| As time | 42585 seconds = 11 h 49 min 45 s |
Is 42585 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 (42585 ÷ 3 = 14195) | 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 (42585 ÷ 5 = 8517) | 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 4) | 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 6) | 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 4) | 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 42585 a prime number?
No. 42585 = 3 × 5 × 17 × 167, so it is divisible by 3.
What are the factors of 42585?
1, 3, 5, 15, 17, 51, 85, 167, 255, 501, 835, 2505, 2839, 8517, 14195, 42585.
What is 42585 in binary?
1010011001011001 (hexadecimal A659, octal 123131).
What is the square root of 42585?
About 206.3613.
Is 42585 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42585?
It is a composite number with 16 divisors.