The number 27548
27548 is a composite number with 12 divisors. Its prime factorisation is × 71 × 97. Divisors (12): 1, 2, 4, 71, 97, 142, 194, 284, 388, 6887, 13774, 27548.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27548 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27548 is composite. Its prime factorisation is
- 3
The divisors add up to 49392; without 27548 itself that is 21844, so 27548 is deficient (21844 is less than 27548). Euler's totient φ(27548) = 13440 numbers up to 27548 share no factor with it.
- 4
The digits of 27548 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27548 = 2^{2} \times 71 \times 97 \]27548 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49392 |
| Euler totient φ(n) | 13440 |
| Square | 758892304 |
| Cube | 20905965190592 |
| Square root | 165.975902 (= 2√6887) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 170 |
| Scientific notation | 2.7548 × |
27548 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand five hundred and forty-eight |
| Binary (base 2) | 110101110011100 |
| Octal (base 8) | 65634 |
| Hexadecimal (base 16) | 6B9C |
| Base 3 | 1101210022 |
| As time | 27548 seconds = 7 h 39 min 8 s |
Is 27548 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27548 ÷ 2 = 13774) | 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 (27548 ÷ 4 = 6887) | 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 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 | No (remainder 8) | 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 4) | 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 27548 a prime number?
No. 27548 = × 71 × 97, so it is divisible by 2.
What are the factors of 27548?
1, 2, 4, 71, 97, 142, 194, 284, 388, 6887, 13774, 27548.
What is 27548 in binary?
110101110011100 (hexadecimal 6B9C, octal 65634).
What is the square root of 27548?
About 165.9759, exactly 2√6887.
Is 27548 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27548?
It is a composite number with 12 divisors.