The number 50180
50180 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 193. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 193, 260, 386, 772, 965 … 50180.
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How to work it out
- 1
50180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50180 is composite. Its prime factorisation is
- 3
The divisors add up to 114072; without 50180 itself that is 63892, so 50180 is abundant (63892 is more than 50180). Euler's totient φ(50180) = 18432 numbers up to 50180 share no factor with it.
- 4
The digits of 50180 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50180 = 2^{2} \times 5 \times 13 \times 193 \]50180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114072 |
| Euler totient φ(n) | 18432 |
| Square | 2518032400 |
| Cube | 126354865832000 |
| Square root | 224.008928 (= 2√12545) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.018 × |
50180 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and eighty |
| Binary (base 2) | 1100010000000100 |
| Octal (base 8) | 142004 |
| Hexadecimal (base 16) | C404 |
| Base 3 | 2112211112 |
| As time | 50180 seconds = 13 h 56 min 20 s |
Is 50180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50180 ÷ 2 = 25090) | 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 (50180 ÷ 4 = 12545) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50180 ÷ 5 = 10036) | 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 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50180 ÷ 10 = 5018) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 50180 a prime number?
No. 50180 = × 5 × 13 × 193, so it is divisible by 2.
What are the factors of 50180?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 193, 260, 386, 772, 965, 1930, 2509, 3860, 5018, 10036, 12545, 25090, 50180.
What is 50180 in binary?
1100010000000100 (hexadecimal C404, octal 142004).
What is the square root of 50180?
About 224.0089, exactly 2√12545.
Is 50180 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 50180?
It is a composite number with 24 divisors.