The number 27728
27728 is a composite number with 10 divisors. Its prime factorisation is × 1733. Divisors (10): 1, 2, 4, 8, 16, 1733, 3466, 6932, 13864, 27728.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27728 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27728 is composite. Its prime factorisation is
- 3
The divisors add up to 53754; without 27728 itself that is 26026, so 27728 is deficient (26026 is less than 27728). Euler's totient φ(27728) = 13856 numbers up to 27728 share no factor with it.
- 4
The digits of 27728 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27728 = 2^{4} \times 1733 \]27728 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 53754 |
| Euler totient φ(n) | 13856 |
| Square | 768841984 |
| Cube | 21318450532352 |
| Square root | 166.517266 (= 4√1733) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7728 × |
27728 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and twenty-eight |
| Binary (base 2) | 110110001010000 |
| Octal (base 8) | 66120 |
| Hexadecimal (base 16) | 6C50 |
| Base 3 | 1102000222 |
| As time | 27728 seconds = 7 h 42 min 8 s |
Is 27728 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27728 ÷ 2 = 13864) | 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 (27728 ÷ 4 = 6932) | 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 1) | 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 (27728 ÷ 8 = 3466) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | 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 27728 a prime number?
No. 27728 = × 1733, so it is divisible by 2.
What are the factors of 27728?
1, 2, 4, 8, 16, 1733, 3466, 6932, 13864, 27728.
What is 27728 in binary?
110110001010000 (hexadecimal 6C50, octal 66120).
What is the square root of 27728?
About 166.5173, exactly 4√1733.
Is 27728 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27728?
It is a composite number with 10 divisors.