The number 50224
50224 is a composite number with 20 divisors. Its prime factorisation is × 43 × 73. Divisors (20): 1, 2, 4, 8, 16, 43, 73, 86, 146, 172, 292, 344, 584, 688, 1168, 3139 … 50224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50224: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
50224 is composite. Its prime factorisation is
- 3
The divisors add up to 100936; without 50224 itself that is 50712, so 50224 is abundant (50712 is more than 50224). Euler's totient φ(50224) = 24192 numbers up to 50224 share no factor with it.
- 4
The digits of 50224 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50224 = 2^{4} \times 43 \times 73 \]50224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 100936 |
| Euler totient φ(n) | 24192 |
| Square | 2522450176 |
| Cube | 126687537639424 |
| Square root | 224.107117 (= 4√3139) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.0224 × |
50224 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand two hundred and twenty-four |
| Binary (base 2) | 1100010000110000 |
| Octal (base 8) | 142060 |
| Hexadecimal (base 16) | C430 |
| Base 3 | 2112220011 |
| As time | 50224 seconds = 13 h 57 min 4 s |
Is 50224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50224 ÷ 2 = 25112) | 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 (50224 ÷ 4 = 12556) | 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 6) | 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 (50224 ÷ 8 = 6278) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | 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 50224 a prime number?
No. 50224 = × 43 × 73, so it is divisible by 2.
What are the factors of 50224?
1, 2, 4, 8, 16, 43, 73, 86, 146, 172, 292, 344, 584, 688, 1168, 3139, 6278, 12556, 25112, 50224.
What is 50224 in binary?
1100010000110000 (hexadecimal C430, octal 142060).
What is the square root of 50224?
About 224.1071, exactly 4√3139.
Is 50224 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 50224?
50224 is a happy number: repeatedly adding the squares of its digits reaches 1.