The number 27775
27775 is a composite number with 12 divisors. Its prime factorisation is × 11 × 101. Divisors (12): 1, 5, 11, 25, 55, 101, 275, 505, 1111, 2525, 5555, 27775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27775: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27775 is composite. Its prime factorisation is
- 3
The divisors add up to 37944; without 27775 itself that is 10169, so 27775 is deficient (10169 is less than 27775). Euler's totient φ(27775) = 20000 numbers up to 27775 share no factor with it.
- 4
The digits of 27775 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27775 = 5^{2} \times 11 \times 101 \]27775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 37944 |
| Euler totient φ(n) | 20000 |
| Square | 771450625 |
| Cube | 21427041109375 |
| Square root | 166.658333 (= 5√1111) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7775 × |
27775 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and seventy-five |
| Binary (base 2) | 110110001111111 |
| Octal (base 8) | 66177 |
| Hexadecimal (base 16) | 6C7F |
| Base 3 | 1102002201 |
| As time | 27775 seconds = 7 h 42 min 55 s |
Is 27775 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 1) | 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 (27775 ÷ 5 = 5555) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | 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 (27775 ÷ 11 = 2525) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27775 a prime number?
No. 27775 = × 11 × 101, so it is divisible by 5.
What are the factors of 27775?
1, 5, 11, 25, 55, 101, 275, 505, 1111, 2525, 5555, 27775.
What is 27775 in binary?
110110001111111 (hexadecimal 6C7F, octal 66177).
What is the square root of 27775?
About 166.6583, exactly 5√1111.
Is 27775 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 27775?
27775 is a happy number: repeatedly adding the squares of its digits reaches 1.