The number 27704
27704 is a composite number with 8 divisors. Its prime factorisation is × 3463. Divisors (8): 1, 2, 4, 8, 3463, 6926, 13852, 27704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27704 is composite. Its prime factorisation is
- 3
The divisors add up to 51960; without 27704 itself that is 24256, so 27704 is deficient (24256 is less than 27704). Euler's totient φ(27704) = 13848 numbers up to 27704 share no factor with it.
- 4
The digits of 27704 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 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27704 = 2^{3} \times 3463 \]27704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51960 |
| Euler totient φ(n) | 13848 |
| Square | 767511616 |
| Cube | 21263141809664 |
| Square root | 166.445186 (= 2√6926) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7704 × |
27704 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and four |
| Binary (base 2) | 110110000111000 |
| Octal (base 8) | 66070 |
| Hexadecimal (base 16) | 6C38 |
| Base 3 | 1102000002 |
| As time | 27704 seconds = 7 h 41 min 44 s |
Is 27704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27704 ÷ 2 = 13852) | 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 (27704 ÷ 4 = 6926) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 (27704 ÷ 8 = 3463) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 27704 a prime number?
No. 27704 = × 3463, so it is divisible by 2.
What are the factors of 27704?
1, 2, 4, 8, 3463, 6926, 13852, 27704.
What is 27704 in binary?
110110000111000 (hexadecimal 6C38, octal 66070).
What is the square root of 27704?
About 166.4452, exactly 2√6926.
Is 27704 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27704?
It is a composite number with 8 divisors.