The number 50800
50800 is a composite number with 30 divisors. Its prime factorisation is × × 127. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 127, 200, 254 … 50800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50800 is composite. Its prime factorisation is
- 3
The divisors add up to 123008; without 50800 itself that is 72208, so 50800 is abundant (72208 is more than 50800). Euler's totient φ(50800) = 20160 numbers up to 50800 share no factor with it.
- 4
The digits of 50800 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50800 = 2^{4} \times 5^{2} \times 127 \]50800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 123008 |
| Euler totient φ(n) | 20160 |
| Square | 2580640000 |
| Cube | 131096512000000 |
| Square root | 225.388553 (= 20√127) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 202 |
| Scientific notation | 5.08 × |
50800 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand eight hundred |
| Binary (base 2) | 1100011001110000 |
| Octal (base 8) | 143160 |
| Hexadecimal (base 16) | C670 |
| Base 3 | 2120200111 |
| As time | 50800 seconds = 14 h 6 min 40 s |
Is 50800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50800 ÷ 2 = 25400) | 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 (50800 ÷ 4 = 12700) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50800 ÷ 5 = 10160) | 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 1) | 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 (50800 ÷ 8 = 6350) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50800 ÷ 10 = 5080) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 50800 a prime number?
No. 50800 = × × 127, so it is divisible by 2.
What are the factors of 50800?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 127, 200, 254, 400, 508, 635, 1016, 1270, 2032, 2540, 3175, 5080, 6350, 10160, 12700, 25400, 50800.
What is 50800 in binary?
1100011001110000 (hexadecimal C670, octal 143160).
What is the square root of 50800?
About 225.3886, exactly 20√127.
Is 50800 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 50800?
It is a composite number with 30 divisors.