The number 50085
50085 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 53. Divisors (32): 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 53, 63, 105, 135, 159, 189 … 50085.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50085 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50085 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 50085 itself that is 53595, so 50085 is abundant (53595 is more than 50085). Euler's totient φ(50085) = 22464 numbers up to 50085 share no factor with it.
- 4
The digits of 50085 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50085 = 3^{3} \times 5 \times 7 \times 53 \]50085 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 22464 |
| Square | 2508507225 |
| Cube | 125638584364125 |
| Square root | 223.796783 (= 3√5565) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0085 × |
50085 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and eighty-five |
| Binary (base 2) | 1100001110100101 |
| Octal (base 8) | 141645 |
| Hexadecimal (base 16) | C3A5 |
| Base 3 | 2112201000 |
| As time | 50085 seconds = 13 h 54 min 45 s |
Is 50085 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 (50085 ÷ 3 = 16695) | 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 (50085 ÷ 5 = 10017) | 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 | Yes (50085 ÷ 7 = 7155) | 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 (50085 ÷ 9 = 5565) | 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 2) | 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 50085 a prime number?
No. 50085 = × 5 × 7 × 53, so it is divisible by 3.
What are the factors of 50085?
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 53, 63, 105, 135, 159, 189, 265, 315, 371, 477, 795, 945, 1113, 1431, 1855, 2385, 3339, 5565, 7155, 10017, 16695, 50085.
What is 50085 in binary?
1100001110100101 (hexadecimal C3A5, octal 141645).
What is the square root of 50085?
About 223.7968, exactly 3√5565.
Is 50085 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50085?
It is a composite number with 32 divisors.