The number 50384
50384 is a composite number with 20 divisors. Its prime factorisation is × 47 × 67. Divisors (20): 1, 2, 4, 8, 16, 47, 67, 94, 134, 188, 268, 376, 536, 752, 1072, 3149 … 50384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50384 is composite. Its prime factorisation is
- 3
The divisors add up to 101184; without 50384 itself that is 50800, so 50384 is abundant (50800 is more than 50384). Euler's totient φ(50384) = 24288 numbers up to 50384 share no factor with it.
- 4
The digits of 50384 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50384 = 2^{4} \times 47 \times 67 \]50384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 101184 |
| Euler totient φ(n) | 24288 |
| Square | 2538547456 |
| Cube | 127902175023104 |
| Square root | 224.463806 (= 4√3149) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0384 × |
50384 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and eighty-four |
| Binary (base 2) | 1100010011010000 |
| Octal (base 8) | 142320 |
| Hexadecimal (base 16) | C4D0 |
| Base 3 | 2120010002 |
| As time | 50384 seconds = 13 h 59 min 44 s |
Is 50384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50384 ÷ 2 = 25192) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50384 ÷ 4 = 12596) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (50384 ÷ 8 = 6298) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50384 a prime number?
No. 50384 = × 47 × 67, so it is divisible by 2.
What are the factors of 50384?
1, 2, 4, 8, 16, 47, 67, 94, 134, 188, 268, 376, 536, 752, 1072, 3149, 6298, 12596, 25192, 50384.
What is 50384 in binary?
1100010011010000 (hexadecimal C4D0, octal 142320).
What is the square root of 50384?
About 224.4638, exactly 4√3149.
Is 50384 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 50384?
It is a composite number with 20 divisors.