The number 27396
27396 is a composite number with 18 divisors. Its prime factorisation is × × 761. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 761, 1522, 2283, 3044, 4566, 6849, 9132 … 27396.
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How to work it out
- 1
27396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27396 is composite. Its prime factorisation is
- 3
The divisors add up to 69342; without 27396 itself that is 41946, so 27396 is abundant (41946 is more than 27396). Euler's totient φ(27396) = 9120 numbers up to 27396 share no factor with it.
- 4
The digits of 27396 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27396 = 2^{2} \times 3^{2} \times 761 \]27396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 69342 |
| Euler totient φ(n) | 9120 |
| Square | 750540816 |
| Cube | 20561816195136 |
| Square root | 165.517371 (= 6√761) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7396 × |
27396 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and ninety-six |
| Binary (base 2) | 110101100000100 |
| Octal (base 8) | 65404 |
| Hexadecimal (base 16) | 6B04 |
| Base 3 | 1101120200 |
| As time | 27396 seconds = 7 h 36 min 36 s |
Is 27396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27396 ÷ 2 = 13698) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27396 ÷ 3 = 9132) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27396 ÷ 4 = 6849) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27396 ÷ 6 = 4566) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27396 ÷ 9 = 3044) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27396 ÷ 12 = 2283) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27396 a prime number?
No. 27396 = × × 761, so it is divisible by 2.
What are the factors of 27396?
1, 2, 3, 4, 6, 9, 12, 18, 36, 761, 1522, 2283, 3044, 4566, 6849, 9132, 13698, 27396.
What is 27396 in binary?
110101100000100 (hexadecimal 6B04, octal 65404).
What is the square root of 27396?
About 165.5174, exactly 6√761.
Is 27396 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27396?
It is a composite number with 18 divisors.