The number 59085
59085 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 101. Divisors (24): 1, 3, 5, 9, 13, 15, 39, 45, 65, 101, 117, 195, 303, 505, 585, 909 … 59085.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59085 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59085 is composite. Its prime factorisation is
- 3
The divisors add up to 111384; without 59085 itself that is 52299, so 59085 is deficient (52299 is less than 59085). Euler's totient φ(59085) = 28800 numbers up to 59085 share no factor with it.
- 4
The digits of 59085 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59085 = 3^{2} \times 5 \times 13 \times 101 \]59085 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111384 |
| Euler totient φ(n) | 28800 |
| Square | 3491037225 |
| Cube | 206267934439125 |
| Square root | 243.074063 (= 3√6565) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9085 × |
59085 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and eighty-five |
| Binary (base 2) | 1110011011001101 |
| Octal (base 8) | 163315 |
| Hexadecimal (base 16) | E6CD |
| Base 3 | 10000001100 |
| As time | 59085 seconds = 16 h 24 min 45 s |
Is 59085 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 (59085 ÷ 3 = 19695) | 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 (59085 ÷ 5 = 11817) | 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 5) | 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 | Yes (59085 ÷ 9 = 6565) | 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 59085 a prime number?
No. 59085 = × 5 × 13 × 101, so it is divisible by 3.
What are the factors of 59085?
1, 3, 5, 9, 13, 15, 39, 45, 65, 101, 117, 195, 303, 505, 585, 909, 1313, 1515, 3939, 4545, 6565, 11817, 19695, 59085.
What is 59085 in binary?
1110011011001101 (hexadecimal E6CD, octal 163315).
What is the square root of 59085?
About 243.0741, exactly 3√6565.
Is 59085 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 59085?
It is a composite number with 24 divisors.