The number 50508
50508 is a composite number with 36 divisors. Its prime factorisation is × × 23 × 61. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 61, 69, 92, 122, 138 … 50508.
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How to work it out
- 1
What is special about 50508: a Harshad number: divisible by its digit sum 18.
- 2
50508 is composite. Its prime factorisation is
- 3
The divisors add up to 135408; without 50508 itself that is 84900, so 50508 is abundant (84900 is more than 50508). Euler's totient φ(50508) = 15840 numbers up to 50508 share no factor with it.
- 4
The digits of 50508 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50508 = 2^{2} \times 3^{2} \times 23 \times 61 \]50508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 135408 |
| Euler totient φ(n) | 15840 |
| Square | 2551058064 |
| Cube | 128848840696512 |
| Square root | 224.739850 (= 6√1403) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0508 × |
50508 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand five hundred and eight |
| Binary (base 2) | 1100010101001100 |
| Octal (base 8) | 142514 |
| Hexadecimal (base 16) | C54C |
| Base 3 | 2120021200 |
| As time | 50508 seconds = 14 h 1 min 48 s |
Is 50508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50508 ÷ 2 = 25254) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50508 ÷ 3 = 16836) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50508 ÷ 4 = 12627) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50508 ÷ 6 = 8418) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (50508 ÷ 9 = 5612) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (50508 ÷ 12 = 4209) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50508 a prime number?
No. 50508 = × × 23 × 61, so it is divisible by 2.
What are the factors of 50508?
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 61, 69, 92, 122, 138, 183, 207, 244, 276, 366, 414, 549, 732, 828, 1098, 1403, 2196, 2806, 4209, 5612, 8418, 12627, 16836, 25254, 50508.
What is 50508 in binary?
1100010101001100 (hexadecimal C54C, octal 142514).
What is the square root of 50508?
About 224.7398, exactly 6√1403.
Is 50508 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50508?
50508 is a Harshad number: divisible by its digit sum 18.