The number 27768
27768 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 89. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 89, 104, 156 … 27768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27768 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 27768 itself that is 47832, so 27768 is abundant (47832 is more than 27768). Euler's totient φ(27768) = 8448 numbers up to 27768 share no factor with it.
- 4
The digits of 27768 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 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27768 = 2^{3} \times 3 \times 13 \times 89 \]27768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 8448 |
| Square | 771061824 |
| Cube | 21410844728832 |
| Square root | 166.637331 (= 2√6942) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7768 × |
27768 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and sixty-eight |
| Binary (base 2) | 110110001111000 |
| Octal (base 8) | 66170 |
| Hexadecimal (base 16) | 6C78 |
| Base 3 | 1102002110 |
| As time | 27768 seconds = 7 h 42 min 48 s |
Is 27768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27768 ÷ 2 = 13884) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27768 ÷ 3 = 9256) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27768 ÷ 4 = 6942) | 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 | Yes (27768 ÷ 6 = 4628) | 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 | Yes (27768 ÷ 8 = 3471) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27768 ÷ 12 = 2314) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27768 a prime number?
No. 27768 = × 3 × 13 × 89, so it is divisible by 2.
What are the factors of 27768?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 89, 104, 156, 178, 267, 312, 356, 534, 712, 1068, 1157, 2136, 2314, 3471, 4628, 6942, 9256, 13884, 27768.
What is 27768 in binary?
110110001111000 (hexadecimal 6C78, octal 66170).
What is the square root of 27768?
About 166.6373, exactly 2√6942.
Is 27768 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 27768?
It is a composite number with 32 divisors.