The number 27848
27848 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 8, 59, 118, 236, 472, 3481, 6962, 13924, 27848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27848 is composite. Its prime factorisation is
- 3
The divisors add up to 53115; without 27848 itself that is 25267, so 27848 is deficient (25267 is less than 27848). Euler's totient φ(27848) = 13688 numbers up to 27848 share no factor with it.
- 4
The digits of 27848 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27848 = 2^{3} \times 59^{2} \]27848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53115 |
| Euler totient φ(n) | 13688 |
| Square | 775511104 |
| Cube | 21596433224192 |
| Square root | 166.877200 (= 118√2) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7848 × |
27848 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and forty-eight |
| Binary (base 2) | 110110011001000 |
| Octal (base 8) | 66310 |
| Hexadecimal (base 16) | 6CC8 |
| Base 3 | 1102012102 |
| As time | 27848 seconds = 7 h 44 min 8 s |
Is 27848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27848 ÷ 2 = 13924) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27848 ÷ 4 = 6962) | 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 | No (remainder 2) | 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 | Yes (27848 ÷ 8 = 3481) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27848 a prime number?
No. 27848 = × , so it is divisible by 2.
What are the factors of 27848?
1, 2, 4, 8, 59, 118, 236, 472, 3481, 6962, 13924, 27848.
What is 27848 in binary?
110110011001000 (hexadecimal 6CC8, octal 66310).
What is the square root of 27848?
About 166.8772, exactly 118√2.
Is 27848 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 27848?
It is a composite number with 12 divisors.