The number 50808
50808 is a composite number with 32 divisors. Its prime factorisation is × 3 × 29 × 73. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 73, 87, 116, 146, 174, 219 … 50808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50808 is composite. Its prime factorisation is
- 3
The divisors add up to 133200; without 50808 itself that is 82392, so 50808 is abundant (82392 is more than 50808). Euler's totient φ(50808) = 16128 numbers up to 50808 share no factor with it.
- 4
The digits of 50808 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 202 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50808 = 2^{3} \times 3 \times 29 \times 73 \]50808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 133200 |
| Euler totient φ(n) | 16128 |
| Square | 2581452864 |
| Cube | 131158457114112 |
| Square root | 225.406300 (= 2√12702) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 202 |
| Scientific notation | 5.0808 × |
50808 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand eight hundred and eight |
| Binary (base 2) | 1100011001111000 |
| Octal (base 8) | 143170 |
| Hexadecimal (base 16) | C678 |
| Base 3 | 2120200210 |
| As time | 50808 seconds = 14 h 6 min 48 s |
Is 50808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50808 ÷ 2 = 25404) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50808 ÷ 3 = 16936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50808 ÷ 4 = 12702) | 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 (50808 ÷ 6 = 8468) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (50808 ÷ 8 = 6351) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50808 ÷ 12 = 4234) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50808 a prime number?
No. 50808 = × 3 × 29 × 73, so it is divisible by 2.
What are the factors of 50808?
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 73, 87, 116, 146, 174, 219, 232, 292, 348, 438, 584, 696, 876, 1752, 2117, 4234, 6351, 8468, 12702, 16936, 25404, 50808.
What is 50808 in binary?
1100011001111000 (hexadecimal C678, octal 143170).
What is the square root of 50808?
About 225.4063, exactly 2√12702.
Is 50808 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 50808?
It is a composite number with 32 divisors.