The number 27708
27708 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2309. Divisors (12): 1, 2, 3, 4, 6, 12, 2309, 4618, 6927, 9236, 13854, 27708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27708 is composite. Its prime factorisation is
- 3
The divisors add up to 64680; without 27708 itself that is 36972, so 27708 is abundant (36972 is more than 27708). Euler's totient φ(27708) = 9232 numbers up to 27708 share no factor with it.
- 4
The digits of 27708 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27708 = 2^{2} \times 3 \times 2309 \]27708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 64680 |
| Euler totient φ(n) | 9232 |
| Square | 767733264 |
| Cube | 21272353278912 |
| Square root | 166.457202 (= 2√6927) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7708 × |
27708 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and eight |
| Binary (base 2) | 110110000111100 |
| Octal (base 8) | 66074 |
| Hexadecimal (base 16) | 6C3C |
| Base 3 | 1102000020 |
| As time | 27708 seconds = 7 h 41 min 48 s |
Is 27708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27708 ÷ 2 = 13854) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27708 ÷ 3 = 9236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27708 ÷ 4 = 6927) | 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 | Yes (27708 ÷ 6 = 4618) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27708 ÷ 12 = 2309) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27708 a prime number?
No. 27708 = × 3 × 2309, so it is divisible by 2.
What are the factors of 27708?
1, 2, 3, 4, 6, 12, 2309, 4618, 6927, 9236, 13854, 27708.
What is 27708 in binary?
110110000111100 (hexadecimal 6C3C, octal 66074).
What is the square root of 27708?
About 166.4572, exactly 2√6927.
Is 27708 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27708?
It is a composite number with 12 divisors.