The number 3585
3585 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 239. Divisors (8): 1, 3, 5, 15, 239, 717, 1195, 3585.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3585 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3585 is composite. Its prime factorisation is
- 3
The divisors add up to 5760; without 3585 itself that is 2175, so 3585 is deficient (2175 is less than 3585). Euler's totient φ(3585) = 1904 numbers up to 3585 share no factor with it.
- 4
The digits of 3585 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 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3585 = 3 \times 5 \times 239 \]
3585 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5760 |
| Euler totient φ(n) | 1904 |
| Square | 12852225 |
| Cube | 46075226625 |
| Square root | 59.874870 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 74 |
| Scientific notation | 3.585 × |
3585 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and eighty-five |
| Roman numerals | MMMDLXXXV |
| Binary (base 2) | 111000000001 |
| Octal (base 8) | 7001 |
| Hexadecimal (base 16) | E01 |
| Base 3 | 11220210 |
| As time | 3585 seconds = 59 min 45 s |
Is 3585 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 (3585 ÷ 3 = 1195) | 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 (3585 ÷ 5 = 717) | 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 1) | 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 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 10) | 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 3585 a prime number?
No. 3585 = 3 × 5 × 239, so it is divisible by 3.
What are the factors of 3585?
1, 3, 5, 15, 239, 717, 1195, 3585.
What is 3585 in binary?
111000000001 (hexadecimal E01, octal 7001).
What is the square root of 3585?
About 59.8749.
What is 3585 in Roman numerals?
MMMDLXXXV.
Is 3585 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3585?
It is a composite number with 8 divisors.