The number 27788
27788 is a composite number with 6 divisors. Its prime factorisation is × 6947. Divisors (6): 1, 2, 4, 6947, 13894, 27788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27788: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27788 is composite. Its prime factorisation is
- 3
The divisors add up to 48636; without 27788 itself that is 20848, so 27788 is deficient (20848 is less than 27788). Euler's totient φ(27788) = 13892 numbers up to 27788 share no factor with it.
- 4
The digits of 27788 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27788 = 2^{2} \times 6947 \]27788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 48636 |
| Euler totient φ(n) | 13892 |
| Square | 772172944 |
| Cube | 21457141767872 |
| Square root | 166.697331 (= 2√6947) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7788 × |
27788 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and eighty-eight |
| Binary (base 2) | 110110010001100 |
| Octal (base 8) | 66214 |
| Hexadecimal (base 16) | 6C8C |
| Base 3 | 1102010012 |
| As time | 27788 seconds = 7 h 43 min 8 s |
Is 27788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27788 ÷ 2 = 13894) | 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 | Yes (27788 ÷ 4 = 6947) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27788 a prime number?
No. 27788 = × 6947, so it is divisible by 2.
What are the factors of 27788?
1, 2, 4, 6947, 13894, 27788.
What is 27788 in binary?
110110010001100 (hexadecimal 6C8C, octal 66214).
What is the square root of 27788?
About 166.6973, exactly 2√6947.
Is 27788 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 27788?
27788 is a happy number: repeatedly adding the squares of its digits reaches 1.