The number 27364
27364 is a composite number with 6 divisors. Its prime factorisation is × 6841. Divisors (6): 1, 2, 4, 6841, 13682, 27364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27364 is composite. Its prime factorisation is
- 3
The divisors add up to 47894; without 27364 itself that is 20530, so 27364 is deficient (20530 is less than 27364). Euler's totient φ(27364) = 13680 numbers up to 27364 share no factor with it.
- 4
The digits of 27364 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27364 = 2^{2} \times 6841 \]27364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 47894 |
| Euler totient φ(n) | 13680 |
| Square | 748788496 |
| Cube | 20489848404544 |
| Square root | 165.420676 (= 2√6841) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7364 × |
27364 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and sixty-four |
| Binary (base 2) | 110101011100100 |
| Octal (base 8) | 65344 |
| Hexadecimal (base 16) | 6AE4 |
| Base 3 | 1101112111 |
| As time | 27364 seconds = 7 h 36 min 4 s |
Is 27364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27364 ÷ 2 = 13682) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27364 ÷ 4 = 6841) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27364 a prime number?
No. 27364 = × 6841, so it is divisible by 2.
What are the factors of 27364?
1, 2, 4, 6841, 13682, 27364.
What is 27364 in binary?
110101011100100 (hexadecimal 6AE4, octal 65344).
What is the square root of 27364?
About 165.4207, exactly 2√6841.
Is 27364 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27364?
It is a composite number with 6 divisors.