The number 27755
27755 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 13 × 61. Divisors (16): 1, 5, 7, 13, 35, 61, 65, 91, 305, 427, 455, 793, 2135, 3965, 5551, 27755.
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How to work it out
- 1
27755 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27755 is composite. Its prime factorisation is
- 3
The divisors add up to 41664; without 27755 itself that is 13909, so 27755 is deficient (13909 is less than 27755). Euler's totient φ(27755) = 17280 numbers up to 27755 share no factor with it.
- 4
The digits of 27755 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27755 = 5 \times 7 \times 13 \times 61 \]
27755 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 41664 |
| Euler totient φ(n) | 17280 |
| Square | 770340025 |
| Cube | 21380787393875 |
| Square root | 166.598319 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7755 × |
27755 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and fifty-five |
| Binary (base 2) | 110110001101011 |
| Octal (base 8) | 66153 |
| Hexadecimal (base 16) | 6C6B |
| Base 3 | 1102001222 |
| As time | 27755 seconds = 7 h 42 min 35 s |
Is 27755 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 (27755 ÷ 5 = 5551) | 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 | Yes (27755 ÷ 7 = 3965) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | 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 27755 a prime number?
No. 27755 = 5 × 7 × 13 × 61, so it is divisible by 5.
What are the factors of 27755?
1, 5, 7, 13, 35, 61, 65, 91, 305, 427, 455, 793, 2135, 3965, 5551, 27755.
What is 27755 in binary?
110110001101011 (hexadecimal 6C6B, octal 66153).
What is the square root of 27755?
About 166.5983.
Is 27755 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27755?
It is a composite number with 16 divisors.