The number 27112
27112 is a composite number with 8 divisors. Its prime factorisation is × 3389. Divisors (8): 1, 2, 4, 8, 3389, 6778, 13556, 27112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27112 is composite. Its prime factorisation is
- 3
The divisors add up to 50850; without 27112 itself that is 23738, so 27112 is deficient (23738 is less than 27112). Euler's totient φ(27112) = 13552 numbers up to 27112 share no factor with it.
- 4
The digits of 27112 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27112 = 2^{3} \times 3389 \]27112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50850 |
| Euler totient φ(n) | 13552 |
| Square | 735060544 |
| Cube | 19928961468928 |
| Square root | 164.657220 (= 2√6778) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7112 × |
27112 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and twelve |
| Binary (base 2) | 110100111101000 |
| Octal (base 8) | 64750 |
| Hexadecimal (base 16) | 69E8 |
| Base 3 | 1101012011 |
| As time | 27112 seconds = 7 h 31 min 52 s |
Is 27112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27112 ÷ 2 = 13556) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27112 ÷ 4 = 6778) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (27112 ÷ 8 = 3389) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27112 a prime number?
No. 27112 = × 3389, so it is divisible by 2.
What are the factors of 27112?
1, 2, 4, 8, 3389, 6778, 13556, 27112.
What is 27112 in binary?
110100111101000 (hexadecimal 69E8, octal 64750).
What is the square root of 27112?
About 164.6572, exactly 2√6778.
Is 27112 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 27112?
It is a composite number with 8 divisors.