The number 27128
27128 is a composite number with 8 divisors. Its prime factorisation is × 3391. Divisors (8): 1, 2, 4, 8, 3391, 6782, 13564, 27128.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27128 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27128 is composite. Its prime factorisation is
- 3
The divisors add up to 50880; without 27128 itself that is 23752, so 27128 is deficient (23752 is less than 27128). Euler's totient φ(27128) = 13560 numbers up to 27128 share no factor with it.
- 4
The digits of 27128 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27128 = 2^{3} \times 3391 \]27128 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50880 |
| Euler totient φ(n) | 13560 |
| Square | 735928384 |
| Cube | 19964265201152 |
| Square root | 164.705798 (= 2√6782) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7128 × |
27128 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and twenty-eight |
| Binary (base 2) | 110100111111000 |
| Octal (base 8) | 64770 |
| Hexadecimal (base 16) | 69F8 |
| Base 3 | 1101012202 |
| As time | 27128 seconds = 7 h 32 min 8 s |
Is 27128 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27128 ÷ 2 = 13564) | 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 (27128 ÷ 4 = 6782) | 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 3) | 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 (27128 ÷ 8 = 3391) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 27128 a prime number?
No. 27128 = × 3391, so it is divisible by 2.
What are the factors of 27128?
1, 2, 4, 8, 3391, 6782, 13564, 27128.
What is 27128 in binary?
110100111111000 (hexadecimal 69F8, octal 64770).
What is the square root of 27128?
About 164.7058, exactly 2√6782.
Is 27128 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27128?
It is a composite number with 8 divisors.