The number 27368
27368 is a composite number with 16 divisors. Its prime factorisation is × 11 × 311. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 311, 622, 1244, 2488, 3421, 6842, 13684, 27368.
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How to work it out
- 1
27368 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27368 is composite. Its prime factorisation is
- 3
The divisors add up to 56160; without 27368 itself that is 28792, so 27368 is abundant (28792 is more than 27368). Euler's totient φ(27368) = 12400 numbers up to 27368 share no factor with it.
- 4
The digits of 27368 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27368 = 2^{3} \times 11 \times 311 \]27368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56160 |
| Euler totient φ(n) | 12400 |
| Square | 749007424 |
| Cube | 20498835180032 |
| Square root | 165.432766 (= 2√6842) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7368 × |
27368 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and sixty-eight |
| Binary (base 2) | 110101011101000 |
| Octal (base 8) | 65350 |
| Hexadecimal (base 16) | 6AE8 |
| Base 3 | 1101112122 |
| As time | 27368 seconds = 7 h 36 min 8 s |
Is 27368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27368 ÷ 2 = 13684) | 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 (27368 ÷ 4 = 6842) | 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 5) | 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 (27368 ÷ 8 = 3421) | 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 | Yes (27368 ÷ 11 = 2488) | 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 27368 a prime number?
No. 27368 = × 11 × 311, so it is divisible by 2.
What are the factors of 27368?
1, 2, 4, 8, 11, 22, 44, 88, 311, 622, 1244, 2488, 3421, 6842, 13684, 27368.
What is 27368 in binary?
110101011101000 (hexadecimal 6AE8, octal 65350).
What is the square root of 27368?
About 165.4328, exactly 2√6842.
Is 27368 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27368?
It is a composite number with 16 divisors.