The number 50484
50484 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 601. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 601, 1202, 1803, 2404 … 50484.
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How to work it out
- 1
What is special about 50484: a Harshad number: divisible by its digit sum 21.
- 2
50484 is composite. Its prime factorisation is
- 3
The divisors add up to 134848; without 50484 itself that is 84364, so 50484 is abundant (84364 is more than 50484). Euler's totient φ(50484) = 14400 numbers up to 50484 share no factor with it.
- 4
The digits of 50484 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50484 = 2^{2} \times 3 \times 7 \times 601 \]50484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 134848 |
| Euler totient φ(n) | 14400 |
| Square | 2548634256 |
| Cube | 128665251779904 |
| Square root | 224.686448 (= 2√12621) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.0484 × |
50484 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand four hundred and eighty-four |
| Binary (base 2) | 1100010100110100 |
| Octal (base 8) | 142464 |
| Hexadecimal (base 16) | C534 |
| Base 3 | 2120020210 |
| As time | 50484 seconds = 14 h 1 min 24 s |
Is 50484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50484 ÷ 2 = 25242) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50484 ÷ 3 = 16828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50484 ÷ 4 = 12621) | 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 (50484 ÷ 6 = 8414) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50484 ÷ 7 = 7212) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50484 ÷ 12 = 4207) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50484 a prime number?
No. 50484 = × 3 × 7 × 601, so it is divisible by 2.
What are the factors of 50484?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 601, 1202, 1803, 2404, 3606, 4207, 7212, 8414, 12621, 16828, 25242, 50484.
What is 50484 in binary?
1100010100110100 (hexadecimal C534, octal 142464).
What is the square root of 50484?
About 224.6864, exactly 2√12621.
Is 50484 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 50484?
50484 is a Harshad number: divisible by its digit sum 21.