The number 55775
55775 is a composite number with 12 divisors. Its prime factorisation is × 23 × 97. Divisors (12): 1, 5, 23, 25, 97, 115, 485, 575, 2231, 2425, 11155, 55775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55775 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55775 is composite. Its prime factorisation is
- 3
The divisors add up to 72912; without 55775 itself that is 17137, so 55775 is deficient (17137 is less than 55775). Euler's totient φ(55775) = 42240 numbers up to 55775 share no factor with it.
- 4
The digits of 55775 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55775 = 5^{2} \times 23 \times 97 \]55775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72912 |
| Euler totient φ(n) | 42240 |
| Square | 3110850625 |
| Cube | 173507693609375 |
| Square root | 236.167314 (= 5√2231) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5775 × |
55775 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and seventy-five |
| Binary (base 2) | 1101100111011111 |
| Octal (base 8) | 154737 |
| Hexadecimal (base 16) | D9DF |
| Base 3 | 2211111202 |
| As time | 55775 seconds = 15 h 29 min 35 s |
Is 55775 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 (55775 ÷ 5 = 11155) | 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 6) | 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 2) | 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 | No (remainder 5) | 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 55775 a prime number?
No. 55775 = × 23 × 97, so it is divisible by 5.
What are the factors of 55775?
1, 5, 23, 25, 97, 115, 485, 575, 2231, 2425, 11155, 55775.
What is 55775 in binary?
1101100111011111 (hexadecimal D9DF, octal 154737).
What is the square root of 55775?
About 236.1673, exactly 5√2231.
Is 55775 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 55775?
It is a composite number with 12 divisors.