The number 57585
57585 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 349. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 165, 349, 1047, 1745, 3839, 5235, 11517, 19195, 57585.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57585: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57585 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 57585 itself that is 43215, so 57585 is deficient (43215 is less than 57585). Euler's totient φ(57585) = 27840 numbers up to 57585 share no factor with it.
- 4
The digits of 57585 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57585 = 3 \times 5 \times 11 \times 349 \]
57585 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 27840 |
| Square | 3316032225 |
| Cube | 190953715676625 |
| Square root | 239.968748 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.7585 × |
57585 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand five hundred and eighty-five |
| Binary (base 2) | 1110000011110001 |
| Octal (base 8) | 160361 |
| Hexadecimal (base 16) | E0F1 |
| Base 3 | 2220222210 |
| As time | 57585 seconds = 15 h 59 min 45 s |
Is 57585 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 (57585 ÷ 3 = 19195) | 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 (57585 ÷ 5 = 11517) | 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 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 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 | Yes (57585 ÷ 11 = 5235) | 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 57585 a prime number?
No. 57585 = 3 × 5 × 11 × 349, so it is divisible by 3.
What are the factors of 57585?
1, 3, 5, 11, 15, 33, 55, 165, 349, 1047, 1745, 3839, 5235, 11517, 19195, 57585.
What is 57585 in binary?
1110000011110001 (hexadecimal E0F1, octal 160361).
What is the square root of 57585?
About 239.9687.
Is 57585 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 57585?
57585 is a happy number: repeatedly adding the squares of its digits reaches 1.