The number 50184
50184 is a composite number with 48 divisors. Its prime factorisation is × × 17 × 41. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 41, 51, 68 … 50184.
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How to work it out
- 1
What is special about 50184: a Harshad number: divisible by its digit sum 18.
- 2
50184 is composite. Its prime factorisation is
- 3
The divisors add up to 147420; without 50184 itself that is 97236, so 50184 is abundant (97236 is more than 50184). Euler's totient φ(50184) = 15360 numbers up to 50184 share no factor with it.
- 4
The digits of 50184 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
\[ 50184 = 2^{3} \times 3^{2} \times 17 \times 41 \]50184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 147420 |
| Euler totient φ(n) | 15360 |
| Square | 2518433856 |
| Cube | 126385084629504 |
| Square root | 224.017856 (= 6√1394) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0184 × |
50184 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and eighty-four |
| Binary (base 2) | 1100010000001000 |
| Octal (base 8) | 142010 |
| Hexadecimal (base 16) | C408 |
| Base 3 | 2112211200 |
| As time | 50184 seconds = 13 h 56 min 24 s |
Is 50184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50184 ÷ 2 = 25092) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50184 ÷ 3 = 16728) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50184 ÷ 4 = 12546) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50184 ÷ 6 = 8364) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (50184 ÷ 8 = 6273) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50184 ÷ 9 = 5576) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (50184 ÷ 12 = 4182) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50184 a prime number?
No. 50184 = × × 17 × 41, so it is divisible by 2.
What are the factors of 50184?
1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 41, 51, 68, 72, 82, 102, 123, 136, 153, 164, 204, 246, 306, 328, 369, 408, 492, 612, 697, 738, 984, 1224, 1394, 1476, 2091, 2788, 2952, 4182, 5576, 6273, 8364, 12546, 16728, 25092, 50184.
What is 50184 in binary?
1100010000001000 (hexadecimal C408, octal 142010).
What is the square root of 50184?
About 224.0179, exactly 6√1394.
Is 50184 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50184?
50184 is a Harshad number: divisible by its digit sum 18.