The number 27828
27828 is a composite number with 18 divisors. Its prime factorisation is × × 773. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 773, 1546, 2319, 3092, 4638, 6957, 9276 … 27828.
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How to work it out
- 1
27828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27828 is composite. Its prime factorisation is
- 3
The divisors add up to 70434; without 27828 itself that is 42606, so 27828 is abundant (42606 is more than 27828). Euler's totient φ(27828) = 9264 numbers up to 27828 share no factor with it.
- 4
The digits of 27828 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
\[ 27828 = 2^{2} \times 3^{2} \times 773 \]27828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 70434 |
| Euler totient φ(n) | 9264 |
| Square | 774397584 |
| Cube | 21549935967552 |
| Square root | 166.817265 (= 6√773) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7828 × |
27828 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and twenty-eight |
| Binary (base 2) | 110110010110100 |
| Octal (base 8) | 66264 |
| Hexadecimal (base 16) | 6CB4 |
| Base 3 | 1102011200 |
| As time | 27828 seconds = 7 h 43 min 48 s |
Is 27828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27828 ÷ 2 = 13914) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27828 ÷ 3 = 9276) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27828 ÷ 4 = 6957) | 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 (27828 ÷ 6 = 4638) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (27828 ÷ 9 = 3092) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27828 ÷ 12 = 2319) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27828 a prime number?
No. 27828 = × × 773, so it is divisible by 2.
What are the factors of 27828?
1, 2, 3, 4, 6, 9, 12, 18, 36, 773, 1546, 2319, 3092, 4638, 6957, 9276, 13914, 27828.
What is 27828 in binary?
110110010110100 (hexadecimal 6CB4, octal 66264).
What is the square root of 27828?
About 166.8173, exactly 6√773.
Is 27828 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27828?
It is a composite number with 18 divisors.