The number 27712
27712 is a composite number with 14 divisors. Its prime factorisation is × 433. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 433, 866, 1732, 3464, 6928, 13856, 27712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27712 is composite. Its prime factorisation is
- 3
The divisors add up to 55118; without 27712 itself that is 27406, so 27712 is deficient (27406 is less than 27712). Euler's totient φ(27712) = 13824 numbers up to 27712 share no factor with it.
- 4
The digits of 27712 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27712 = 2^{6} \times 433 \]27712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 55118 |
| Euler totient φ(n) | 13824 |
| Square | 767954944 |
| Cube | 21281567408128 |
| Square root | 166.469216 (= 8√433) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7712 × |
27712 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and twelve |
| Binary (base 2) | 110110001000000 |
| Octal (base 8) | 66100 |
| Hexadecimal (base 16) | 6C40 |
| Base 3 | 1102000101 |
| As time | 27712 seconds = 7 h 41 min 52 s |
Is 27712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27712 ÷ 2 = 13856) | 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 (27712 ÷ 4 = 6928) | 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 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 (27712 ÷ 8 = 3464) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | 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 27712 a prime number?
No. 27712 = × 433, so it is divisible by 2.
What are the factors of 27712?
1, 2, 4, 8, 16, 32, 64, 433, 866, 1732, 3464, 6928, 13856, 27712.
What is 27712 in binary?
110110001000000 (hexadecimal 6C40, octal 66100).
What is the square root of 27712?
About 166.4692, exactly 8√433.
Is 27712 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27712?
It is a composite number with 14 divisors.