The number 50985
50985 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 103. Divisors (24): 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 103, 165, 309, 495, 515, 927 … 50985.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50985 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50985 is composite. Its prime factorisation is
- 3
The divisors add up to 97344; without 50985 itself that is 46359, so 50985 is deficient (46359 is less than 50985). Euler's totient φ(50985) = 24480 numbers up to 50985 share no factor with it.
- 4
The digits of 50985 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50985 = 3^{2} \times 5 \times 11 \times 103 \]50985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 97344 |
| Euler totient φ(n) | 24480 |
| Square | 2599470225 |
| Cube | 132533989421625 |
| Square root | 225.798583 (= 3√5665) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0985 × |
50985 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and eighty-five |
| Binary (base 2) | 1100011100101001 |
| Octal (base 8) | 143451 |
| Hexadecimal (base 16) | C729 |
| Base 3 | 2120221100 |
| As time | 50985 seconds = 14 h 9 min 45 s |
Is 50985 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 (50985 ÷ 3 = 16995) | 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 (50985 ÷ 5 = 10197) | 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 4) | 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 | Yes (50985 ÷ 9 = 5665) | 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 (50985 ÷ 11 = 4635) | 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 50985 a prime number?
No. 50985 = × 5 × 11 × 103, so it is divisible by 3.
What are the factors of 50985?
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 103, 165, 309, 495, 515, 927, 1133, 1545, 3399, 4635, 5665, 10197, 16995, 50985.
What is 50985 in binary?
1100011100101001 (hexadecimal C729, octal 143451).
What is the square root of 50985?
About 225.7986, exactly 3√5665.
Is 50985 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 50985?
It is a composite number with 24 divisors.