The number 27846
27846 is a composite number with 48 divisors. Its prime factorisation is 2 × × 7 × 13 × 17. Divisors (48): 1, 2, 3, 6, 7, 9, 13, 14, 17, 18, 21, 26, 34, 39, 42, 51 … 27846.
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How to work it out
- 1
27846 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27846 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 27846 itself that is 50778, so 27846 is abundant (50778 is more than 27846). Euler's totient φ(27846) = 6912 numbers up to 27846 share no factor with it.
- 4
The digits of 27846 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27846 = 2 \times 3^{2} \times 7 \times 13 \times 17 \]27846 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 6912 |
| Square | 775399716 |
| Cube | 21591780491736 |
| Square root | 166.871208 (= 3√3094) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7846 × |
27846 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and forty-six |
| Binary (base 2) | 110110011000110 |
| Octal (base 8) | 66306 |
| Hexadecimal (base 16) | 6CC6 |
| Base 3 | 1102012100 |
| As time | 27846 seconds = 7 h 44 min 6 s |
Is 27846 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27846 ÷ 2 = 13923) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27846 ÷ 3 = 9282) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27846 ÷ 6 = 4641) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27846 ÷ 7 = 3978) | 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 | Yes (27846 ÷ 9 = 3094) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 27846 a prime number?
No. 27846 = 2 × × 7 × 13 × 17, so it is divisible by 2.
What are the factors of 27846?
1, 2, 3, 6, 7, 9, 13, 14, 17, 18, 21, 26, 34, 39, 42, 51, 63, 78, 91, 102, 117, 119, 126, 153, 182, 221, 234, 238, 273, 306, 357, 442, 546, 663, 714, 819, 1071, 1326, 1547, 1638, 1989, 2142, 3094, 3978, 4641, 9282, 13923, 27846.
What is 27846 in binary?
110110011000110 (hexadecimal 6CC6, octal 66306).
What is the square root of 27846?
About 166.8712, exactly 3√3094.
Is 27846 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27846?
It is a composite number with 48 divisors.