The number 50524
50524 is a composite number with 12 divisors. Its prime factorisation is × 17 × 743. Divisors (12): 1, 2, 4, 17, 34, 68, 743, 1486, 2972, 12631, 25262, 50524.
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How to work it out
- 1
What is special about 50524: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
50524 is composite. Its prime factorisation is
- 3
The divisors add up to 93744; without 50524 itself that is 43220, so 50524 is deficient (43220 is less than 50524). Euler's totient φ(50524) = 23744 numbers up to 50524 share no factor with it.
- 4
The digits of 50524 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50524 = 2^{2} \times 17 \times 743 \]50524 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93744 |
| Euler totient φ(n) | 23744 |
| Square | 2552674576 |
| Cube | 128971330277824 |
| Square root | 224.775443 (= 2√12631) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0524 × |
50524 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand five hundred and twenty-four |
| Binary (base 2) | 1100010101011100 |
| Octal (base 8) | 142534 |
| Hexadecimal (base 16) | C55C |
| Base 3 | 2120022021 |
| As time | 50524 seconds = 14 h 2 min 4 s |
Is 50524 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50524 ÷ 2 = 25262) | 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 (50524 ÷ 4 = 12631) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | 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 50524 a prime number?
No. 50524 = × 17 × 743, so it is divisible by 2.
What are the factors of 50524?
1, 2, 4, 17, 34, 68, 743, 1486, 2972, 12631, 25262, 50524.
What is 50524 in binary?
1100010101011100 (hexadecimal C55C, octal 142534).
What is the square root of 50524?
About 224.7754, exactly 2√12631.
Is 50524 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 50524?
50524 is a happy number: repeatedly adding the squares of its digits reaches 1.