The number 50284
50284 is a composite number with 12 divisors. Its prime factorisation is × 13 × 967. Divisors (12): 1, 2, 4, 13, 26, 52, 967, 1934, 3868, 12571, 25142, 50284.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50284: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
50284 is composite. Its prime factorisation is
- 3
The divisors add up to 94864; without 50284 itself that is 44580, so 50284 is deficient (44580 is less than 50284). Euler's totient φ(50284) = 23184 numbers up to 50284 share no factor with it.
- 4
The digits of 50284 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50284 = 2^{2} \times 13 \times 967 \]50284 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94864 |
| Euler totient φ(n) | 23184 |
| Square | 2528480656 |
| Cube | 127142121306304 |
| Square root | 224.240942 (= 2√12571) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0284 × |
50284 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand two hundred and eighty-four |
| Binary (base 2) | 1100010001101100 |
| Octal (base 8) | 142154 |
| Hexadecimal (base 16) | C46C |
| Base 3 | 2112222101 |
| As time | 50284 seconds = 13 h 58 min 4 s |
Is 50284 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50284 ÷ 2 = 25142) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50284 ÷ 4 = 12571) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50284 a prime number?
No. 50284 = × 13 × 967, so it is divisible by 2.
What are the factors of 50284?
1, 2, 4, 13, 26, 52, 967, 1934, 3868, 12571, 25142, 50284.
What is 50284 in binary?
1100010001101100 (hexadecimal C46C, octal 142154).
What is the square root of 50284?
About 224.2409, exactly 2√12571.
Is 50284 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 50284?
50284 is a happy number: repeatedly adding the squares of its digits reaches 1.