The number 50824
50824 is a composite number with 8 divisors. Its prime factorisation is × 6353. Divisors (8): 1, 2, 4, 8, 6353, 12706, 25412, 50824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50824: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
50824 is composite. Its prime factorisation is
- 3
The divisors add up to 95310; without 50824 itself that is 44486, so 50824 is deficient (44486 is less than 50824). Euler's totient φ(50824) = 25408 numbers up to 50824 share no factor with it.
- 4
The digits of 50824 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50824 = 2^{3} \times 6353 \]50824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 95310 |
| Euler totient φ(n) | 25408 |
| Square | 2583078976 |
| Cube | 131282405876224 |
| Square root | 225.441788 (= 2√12706) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 5.0824 × |
50824 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand eight hundred and twenty-four |
| Binary (base 2) | 1100011010001000 |
| Octal (base 8) | 143210 |
| Hexadecimal (base 16) | C688 |
| Base 3 | 2120201101 |
| As time | 50824 seconds = 14 h 7 min 4 s |
Is 50824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50824 ÷ 2 = 25412) | 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 (50824 ÷ 4 = 12706) | 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 4) | 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 (50824 ÷ 8 = 6353) | 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 4) | 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 50824 a prime number?
No. 50824 = × 6353, so it is divisible by 2.
What are the factors of 50824?
1, 2, 4, 8, 6353, 12706, 25412, 50824.
What is 50824 in binary?
1100011010001000 (hexadecimal C688, octal 143210).
What is the square root of 50824?
About 225.4418, exactly 2√12706.
Is 50824 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 50824?
50824 is a happy number: repeatedly adding the squares of its digits reaches 1.