The number 50382
50382 is a composite number with 20 divisors. Its prime factorisation is 2 × × 311. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 311, 622, 933, 1866, 2799, 5598 … 50382.
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How to work it out
- 1
What is special about 50382: a Harshad number: divisible by its digit sum 18.
- 2
50382 is composite. Its prime factorisation is
- 3
The divisors add up to 113256; without 50382 itself that is 62874, so 50382 is abundant (62874 is more than 50382). Euler's totient φ(50382) = 16740 numbers up to 50382 share no factor with it.
- 4
The digits of 50382 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50382 = 2 \times 3^{4} \times 311 \]50382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 113256 |
| Euler totient φ(n) | 16740 |
| Square | 2538345924 |
| Cube | 127886944342968 |
| Square root | 224.459350 (= 9√622) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0382 × |
50382 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and eighty-two |
| Binary (base 2) | 1100010011001110 |
| Octal (base 8) | 142316 |
| Hexadecimal (base 16) | C4CE |
| Base 3 | 2120010000 |
| As time | 50382 seconds = 13 h 59 min 42 s |
Is 50382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50382 ÷ 2 = 25191) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50382 ÷ 3 = 16794) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50382 ÷ 6 = 8397) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50382 ÷ 9 = 5598) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50382 a prime number?
No. 50382 = 2 × × 311, so it is divisible by 2.
What are the factors of 50382?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 311, 622, 933, 1866, 2799, 5598, 8397, 16794, 25191, 50382.
What is 50382 in binary?
1100010011001110 (hexadecimal C4CE, octal 142316).
What is the square root of 50382?
About 224.4594, exactly 9√622.
Is 50382 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50382?
50382 is a Harshad number: divisible by its digit sum 18.