The number 27765
27765 is a composite number with 12 divisors. Its prime factorisation is × 5 × 617. Divisors (12): 1, 3, 5, 9, 15, 45, 617, 1851, 3085, 5553, 9255, 27765.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27765 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27765 is composite. Its prime factorisation is
- 3
The divisors add up to 48204; without 27765 itself that is 20439, so 27765 is deficient (20439 is less than 27765). Euler's totient φ(27765) = 14784 numbers up to 27765 share no factor with it.
- 4
The digits of 27765 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27765 = 3^{2} \times 5 \times 617 \]27765 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 48204 |
| Euler totient φ(n) | 14784 |
| Square | 770895225 |
| Cube | 21403905922125 |
| Square root | 166.628329 (= 3√3085) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7765 × |
27765 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and sixty-five |
| Binary (base 2) | 110110001110101 |
| Octal (base 8) | 66165 |
| Hexadecimal (base 16) | 6C75 |
| Base 3 | 1102002100 |
| As time | 27765 seconds = 7 h 42 min 45 s |
Is 27765 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 | Yes (27765 ÷ 3 = 9255) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27765 ÷ 5 = 5553) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27765 ÷ 9 = 3085) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27765 a prime number?
No. 27765 = × 5 × 617, so it is divisible by 3.
What are the factors of 27765?
1, 3, 5, 9, 15, 45, 617, 1851, 3085, 5553, 9255, 27765.
What is 27765 in binary?
110110001110101 (hexadecimal 6C75, octal 66165).
What is the square root of 27765?
About 166.6283, exactly 3√3085.
Is 27765 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27765?
It is a composite number with 12 divisors.