The number 27678
27678 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 659. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 659, 1318, 1977, 3954, 4613, 9226, 13839, 27678.
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How to work it out
- 1
27678 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27678 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 27678 itself that is 35682, so 27678 is abundant (35682 is more than 27678). Euler's totient φ(27678) = 7896 numbers up to 27678 share no factor with it.
- 4
The digits of 27678 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 227 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27678 = 2 \times 3 \times 7 \times 659 \]
27678 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 7896 |
| Square | 766071684 |
| Cube | 21203332069752 |
| Square root | 166.367064 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 227 |
| Scientific notation | 2.7678 × |
27678 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and seventy-eight |
| Binary (base 2) | 110110000011110 |
| Octal (base 8) | 66036 |
| Hexadecimal (base 16) | 6C1E |
| Base 3 | 1101222010 |
| As time | 27678 seconds = 7 h 41 min 18 s |
Is 27678 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27678 ÷ 2 = 13839) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27678 ÷ 3 = 9226) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (27678 ÷ 6 = 4613) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27678 ÷ 7 = 3954) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27678 a prime number?
No. 27678 = 2 × 3 × 7 × 659, so it is divisible by 2.
What are the factors of 27678?
1, 2, 3, 6, 7, 14, 21, 42, 659, 1318, 1977, 3954, 4613, 9226, 13839, 27678.
What is 27678 in binary?
110110000011110 (hexadecimal 6C1E, octal 66036).
What is the square root of 27678?
About 166.3671.
Is 27678 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 27678?
It is a composite number with 16 divisors.