The number 27684
27684 is a composite number with 18 divisors. Its prime factorisation is × × 769. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 769, 1538, 2307, 3076, 4614, 6921, 9228 … 27684.
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How to work it out
- 1
27684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27684 is composite. Its prime factorisation is
- 3
The divisors add up to 70070; without 27684 itself that is 42386, so 27684 is abundant (42386 is more than 27684). Euler's totient φ(27684) = 9216 numbers up to 27684 share no factor with it.
- 4
The digits of 27684 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27684 = 2^{2} \times 3^{2} \times 769 \]27684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 70070 |
| Euler totient φ(n) | 9216 |
| Square | 766403856 |
| Cube | 21217124349504 |
| Square root | 166.385095 (= 6√769) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.7684 × |
27684 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and eighty-four |
| Binary (base 2) | 110110000100100 |
| Octal (base 8) | 66044 |
| Hexadecimal (base 16) | 6C24 |
| Base 3 | 1101222100 |
| As time | 27684 seconds = 7 h 41 min 24 s |
Is 27684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27684 ÷ 2 = 13842) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27684 ÷ 3 = 9228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27684 ÷ 4 = 6921) | 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 | Yes (27684 ÷ 6 = 4614) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27684 ÷ 9 = 3076) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27684 ÷ 12 = 2307) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27684 a prime number?
No. 27684 = × × 769, so it is divisible by 2.
What are the factors of 27684?
1, 2, 3, 4, 6, 9, 12, 18, 36, 769, 1538, 2307, 3076, 4614, 6921, 9228, 13842, 27684.
What is 27684 in binary?
110110000100100 (hexadecimal 6C24, octal 66044).
What is the square root of 27684?
About 166.3851, exactly 6√769.
Is 27684 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27684?
It is a composite number with 18 divisors.