The number 5085
5085 is a composite number with 12 divisors. Its prime factorisation is × 5 × 113. Divisors (12): 1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5085 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5085 is composite. Its prime factorisation is
- 3
The divisors add up to 8892; without 5085 itself that is 3807, so 5085 is deficient (3807 is less than 5085). Euler's totient φ(5085) = 2688 numbers up to 5085 share no factor with it.
- 4
The digits of 5085 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5085 = 3^{2} \times 5 \times 113 \]5085 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8892 |
| Euler totient φ(n) | 2688 |
| Square | 25857225 |
| Cube | 131483989125 |
| Square root | 71.309186 (= 3√565) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 33 |
| Scientific notation | 5.085 × |
5085 in other forms
| Form | Value |
|---|---|
| In words | five thousand and eighty-five |
| Binary (base 2) | 1001111011101 |
| Octal (base 8) | 11735 |
| Hexadecimal (base 16) | 13DD |
| Base 3 | 20222100 |
| As time | 5085 seconds = 1 h 24 min 45 s |
Is 5085 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 (5085 ÷ 3 = 1695) | 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 (5085 ÷ 5 = 1017) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5085 ÷ 9 = 565) | 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 3) | 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 5085 a prime number?
No. 5085 = × 5 × 113, so it is divisible by 3.
What are the factors of 5085?
1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085.
What is 5085 in binary?
1001111011101 (hexadecimal 13DD, octal 11735).
What is the square root of 5085?
About 71.3092, exactly 3√565.
Is 5085 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5085?
It is a composite number with 12 divisors.