The number 50908
50908 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 89. Divisors (24): 1, 2, 4, 11, 13, 22, 26, 44, 52, 89, 143, 178, 286, 356, 572, 979 … 50908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50908: a Harshad number: divisible by its digit sum 22.
- 2
50908 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 50908 itself that is 54932, so 50908 is abundant (54932 is more than 50908). Euler's totient φ(50908) = 21120 numbers up to 50908 share no factor with it.
- 4
The digits of 50908 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50908 = 2^{2} \times 11 \times 13 \times 89 \]50908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 21120 |
| Square | 2591624464 |
| Cube | 131934418213312 |
| Square root | 225.628012 (= 2√12727) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0908 × |
50908 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and eight |
| Binary (base 2) | 1100011011011100 |
| Octal (base 8) | 143334 |
| Hexadecimal (base 16) | C6DC |
| Base 3 | 2120211111 |
| As time | 50908 seconds = 14 h 8 min 28 s |
Is 50908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50908 ÷ 2 = 25454) | 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 (50908 ÷ 4 = 12727) | 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 | No (remainder 4) | 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 4) | 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 | Yes (50908 ÷ 11 = 4628) | 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 50908 a prime number?
No. 50908 = × 11 × 13 × 89, so it is divisible by 2.
What are the factors of 50908?
1, 2, 4, 11, 13, 22, 26, 44, 52, 89, 143, 178, 286, 356, 572, 979, 1157, 1958, 2314, 3916, 4628, 12727, 25454, 50908.
What is 50908 in binary?
1100011011011100 (hexadecimal C6DC, octal 143334).
What is the square root of 50908?
About 225.6280, exactly 2√12727.
Is 50908 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 50908?
50908 is a Harshad number: divisible by its digit sum 22.