The number 50200
50200 is a composite number with 24 divisors. Its prime factorisation is × × 251. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 251, 502, 1004, 1255 … 50200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50200 is composite. Its prime factorisation is
- 3
The divisors add up to 117180; without 50200 itself that is 66980, so 50200 is abundant (66980 is more than 50200). Euler's totient φ(50200) = 20000 numbers up to 50200 share no factor with it.
- 4
The digits of 50200 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50200 = 2^{3} \times 5^{2} \times 251 \]50200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 117180 |
| Euler totient φ(n) | 20000 |
| Square | 2520040000 |
| Cube | 126506008000000 |
| Square root | 224.053565 (= 10√502) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.02 × |
50200 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand two hundred |
| Binary (base 2) | 1100010000011000 |
| Octal (base 8) | 142030 |
| Hexadecimal (base 16) | C418 |
| Base 3 | 2112212021 |
| As time | 50200 seconds = 13 h 56 min 40 s |
Is 50200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50200 ÷ 2 = 25100) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50200 ÷ 4 = 12550) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50200 ÷ 5 = 10040) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (50200 ÷ 8 = 6275) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50200 ÷ 10 = 5020) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50200 a prime number?
No. 50200 = × × 251, so it is divisible by 2.
What are the factors of 50200?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 251, 502, 1004, 1255, 2008, 2510, 5020, 6275, 10040, 12550, 25100, 50200.
What is 50200 in binary?
1100010000011000 (hexadecimal C418, octal 142030).
What is the square root of 50200?
About 224.0536, exactly 10√502.
Is 50200 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 50200?
It is a composite number with 24 divisors.