The number 50124
50124 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4177. Divisors (12): 1, 2, 3, 4, 6, 12, 4177, 8354, 12531, 16708, 25062, 50124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50124: a Harshad number: divisible by its digit sum 12.
- 2
50124 is composite. Its prime factorisation is
- 3
The divisors add up to 116984; without 50124 itself that is 66860, so 50124 is abundant (66860 is more than 50124). Euler's totient φ(50124) = 16704 numbers up to 50124 share no factor with it.
- 4
The digits of 50124 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50124 = 2^{2} \times 3 \times 4177 \]50124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 116984 |
| Euler totient φ(n) | 16704 |
| Square | 2512415376 |
| Cube | 125932308306624 |
| Square root | 223.883898 (= 2√12531) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 88 |
| Scientific notation | 5.0124 × |
50124 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and twenty-four |
| Binary (base 2) | 1100001111001100 |
| Octal (base 8) | 141714 |
| Hexadecimal (base 16) | C3CC |
| Base 3 | 2112202110 |
| As time | 50124 seconds = 13 h 55 min 24 s |
Is 50124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50124 ÷ 2 = 25062) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50124 ÷ 3 = 16708) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50124 ÷ 4 = 12531) | 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 | Yes (50124 ÷ 6 = 8354) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50124 ÷ 12 = 4177) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50124 a prime number?
No. 50124 = × 3 × 4177, so it is divisible by 2.
What are the factors of 50124?
1, 2, 3, 4, 6, 12, 4177, 8354, 12531, 16708, 25062, 50124.
What is 50124 in binary?
1100001111001100 (hexadecimal C3CC, octal 141714).
What is the square root of 50124?
About 223.8839, exactly 2√12531.
Is 50124 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 50124?
50124 is a Harshad number: divisible by its digit sum 12.