The number 27392
27392 is a composite number with 18 divisors. Its prime factorisation is × 107. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 107, 128, 214, 256, 428, 856, 1712, 3424, 6848 … 27392.
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How to work it out
- 1
27392 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27392 is composite. Its prime factorisation is
- 3
The divisors add up to 55188; without 27392 itself that is 27796, so 27392 is abundant (27796 is more than 27392). Euler's totient φ(27392) = 13568 numbers up to 27392 share no factor with it.
- 4
The digits of 27392 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27392 = 2^{8} \times 107 \]27392 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 55188 |
| Euler totient φ(n) | 13568 |
| Square | 750321664 |
| Cube | 20552811020288 |
| Square root | 165.505287 (= 16√107) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7392 × |
27392 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and ninety-two |
| Binary (base 2) | 110101100000000 |
| Octal (base 8) | 65400 |
| Hexadecimal (base 16) | 6B00 |
| Base 3 | 1101120112 |
| As time | 27392 seconds = 7 h 36 min 32 s |
Is 27392 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27392 ÷ 2 = 13696) | 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 (27392 ÷ 4 = 6848) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | Yes (27392 ÷ 8 = 3424) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27392 a prime number?
No. 27392 = × 107, so it is divisible by 2.
What are the factors of 27392?
1, 2, 4, 8, 16, 32, 64, 107, 128, 214, 256, 428, 856, 1712, 3424, 6848, 13696, 27392.
What is 27392 in binary?
110101100000000 (hexadecimal 6B00, octal 65400).
What is the square root of 27392?
About 165.5053, exactly 16√107.
Is 27392 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27392?
It is a composite number with 18 divisors.