The number 50024
50024 is a composite number with 24 divisors. Its prime factorisation is × × 37. Divisors (24): 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 169, 296, 338, 481, 676 … 50024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50024 is composite. Its prime factorisation is
- 3
The divisors add up to 104310; without 50024 itself that is 54286, so 50024 is abundant (54286 is more than 50024). Euler's totient φ(50024) = 22464 numbers up to 50024 share no factor with it.
- 4
The digits of 50024 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50024 = 2^{3} \times 13^{2} \times 37 \]50024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 104310 |
| Euler totient φ(n) | 22464 |
| Square | 2502400576 |
| Cube | 125180086413824 |
| Square root | 223.660457 (= 26√74) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0024 × |
50024 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and twenty-four |
| Binary (base 2) | 1100001101101000 |
| Octal (base 8) | 141550 |
| Hexadecimal (base 16) | C368 |
| Base 3 | 2112121202 |
| As time | 50024 seconds = 13 h 53 min 44 s |
Is 50024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50024 ÷ 2 = 25012) | 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 (50024 ÷ 4 = 12506) | 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 2) | 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 (50024 ÷ 8 = 6253) | 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 7) | 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 50024 a prime number?
No. 50024 = × × 37, so it is divisible by 2.
What are the factors of 50024?
1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 169, 296, 338, 481, 676, 962, 1352, 1924, 3848, 6253, 12506, 25012, 50024.
What is 50024 in binary?
1100001101101000 (hexadecimal C368, octal 141550).
What is the square root of 50024?
About 223.6605, exactly 26√74.
Is 50024 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 50024?
It is a composite number with 24 divisors.