The number 27348
27348 is a composite number with 24 divisors. Its prime factorisation is × 3 × 43 × 53. Divisors (24): 1, 2, 3, 4, 6, 12, 43, 53, 86, 106, 129, 159, 172, 212, 258, 318 … 27348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27348 is composite. Its prime factorisation is
- 3
The divisors add up to 66528; without 27348 itself that is 39180, so 27348 is abundant (39180 is more than 27348). Euler's totient φ(27348) = 8736 numbers up to 27348 share no factor with it.
- 4
The digits of 27348 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27348 = 2^{2} \times 3 \times 43 \times 53 \]27348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 66528 |
| Euler totient φ(n) | 8736 |
| Square | 747913104 |
| Cube | 20453927568192 |
| Square root | 165.372307 (= 2√6837) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7348 × |
27348 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and forty-eight |
| Binary (base 2) | 110101011010100 |
| Octal (base 8) | 65324 |
| Hexadecimal (base 16) | 6AD4 |
| Base 3 | 1101111220 |
| As time | 27348 seconds = 7 h 35 min 48 s |
Is 27348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27348 ÷ 2 = 13674) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27348 ÷ 3 = 9116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27348 ÷ 4 = 6837) | 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 (27348 ÷ 6 = 4558) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 | Yes (27348 ÷ 12 = 2279) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27348 a prime number?
No. 27348 = × 3 × 43 × 53, so it is divisible by 2.
What are the factors of 27348?
1, 2, 3, 4, 6, 12, 43, 53, 86, 106, 129, 159, 172, 212, 258, 318, 516, 636, 2279, 4558, 6837, 9116, 13674, 27348.
What is 27348 in binary?
110101011010100 (hexadecimal 6AD4, octal 65324).
What is the square root of 27348?
About 165.3723, exactly 2√6837.
Is 27348 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27348?
It is a composite number with 24 divisors.