The number 49775
49775 is a composite number with 12 divisors. Its prime factorisation is × 11 × 181. Divisors (12): 1, 5, 11, 25, 55, 181, 275, 905, 1991, 4525, 9955, 49775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49775 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49775 is composite. Its prime factorisation is
- 3
The divisors add up to 67704; without 49775 itself that is 17929, so 49775 is deficient (17929 is less than 49775). Euler's totient φ(49775) = 36000 numbers up to 49775 share no factor with it.
- 4
The digits of 49775 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49775 = 5^{2} \times 11 \times 181 \]49775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67704 |
| Euler totient φ(n) | 36000 |
| Square | 2477550625 |
| Cube | 123320082359375 |
| Square root | 223.103115 (= 5√1991) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9775 × |
49775 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and seventy-five |
| Binary (base 2) | 1100001001101111 |
| Octal (base 8) | 141157 |
| Hexadecimal (base 16) | C26F |
| Base 3 | 2112021112 |
| As time | 49775 seconds = 13 h 49 min 35 s |
Is 49775 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49775 ÷ 5 = 9955) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49775 ÷ 11 = 4525) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49775 a prime number?
No. 49775 = × 11 × 181, so it is divisible by 5.
What are the factors of 49775?
1, 5, 11, 25, 55, 181, 275, 905, 1991, 4525, 9955, 49775.
What is 49775 in binary?
1100001001101111 (hexadecimal C26F, octal 141157).
What is the square root of 49775?
About 223.1031, exactly 5√1991.
Is 49775 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49775?
It is a composite number with 12 divisors.