The number 27795
27795 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 17 × 109. Divisors (16): 1, 3, 5, 15, 17, 51, 85, 109, 255, 327, 545, 1635, 1853, 5559, 9265, 27795.
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How to work it out
- 1
What is special about 27795: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27795 is composite. Its prime factorisation is
- 3
The divisors add up to 47520; without 27795 itself that is 19725, so 27795 is deficient (19725 is less than 27795). Euler's totient φ(27795) = 13824 numbers up to 27795 share no factor with it.
- 4
The digits of 27795 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27795 = 3 \times 5 \times 17 \times 109 \]
27795 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 47520 |
| Euler totient φ(n) | 13824 |
| Square | 772562025 |
| Cube | 21473361484875 |
| Square root | 166.718325 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7795 × |
27795 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and ninety-five |
| Binary (base 2) | 110110010010011 |
| Octal (base 8) | 66223 |
| Hexadecimal (base 16) | 6C93 |
| Base 3 | 1102010110 |
| As time | 27795 seconds = 7 h 43 min 15 s |
Is 27795 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 (27795 ÷ 3 = 9265) | 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 (27795 ÷ 5 = 5559) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27795 a prime number?
No. 27795 = 3 × 5 × 17 × 109, so it is divisible by 3.
What are the factors of 27795?
1, 3, 5, 15, 17, 51, 85, 109, 255, 327, 545, 1635, 1853, 5559, 9265, 27795.
What is 27795 in binary?
110110010010011 (hexadecimal 6C93, octal 66223).
What is the square root of 27795?
About 166.7183.
Is 27795 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 27795?
27795 is a happy number: repeatedly adding the squares of its digits reaches 1.