The number 27336
27336 is a composite number with 32 divisors. Its prime factorisation is × 3 × 17 × 67. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 67, 68, 102, 134, 136 … 27336.
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How to work it out
- 1
27336 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27336 is composite. Its prime factorisation is
- 3
The divisors add up to 73440; without 27336 itself that is 46104, so 27336 is abundant (46104 is more than 27336). Euler's totient φ(27336) = 8448 numbers up to 27336 share no factor with it.
- 4
The digits of 27336 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27336 = 2^{3} \times 3 \times 17 \times 67 \]27336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 73440 |
| Euler totient φ(n) | 8448 |
| Square | 747256896 |
| Cube | 20427014509056 |
| Square root | 165.336021 (= 2√6834) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7336 × |
27336 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and thirty-six |
| Binary (base 2) | 110101011001000 |
| Octal (base 8) | 65310 |
| Hexadecimal (base 16) | 6AC8 |
| Base 3 | 1101111110 |
| As time | 27336 seconds = 7 h 35 min 36 s |
Is 27336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27336 ÷ 2 = 13668) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27336 ÷ 3 = 9112) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27336 ÷ 4 = 6834) | 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 (27336 ÷ 6 = 4556) | 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 (27336 ÷ 8 = 3417) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27336 ÷ 12 = 2278) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27336 a prime number?
No. 27336 = × 3 × 17 × 67, so it is divisible by 2.
What are the factors of 27336?
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 67, 68, 102, 134, 136, 201, 204, 268, 402, 408, 536, 804, 1139, 1608, 2278, 3417, 4556, 6834, 9112, 13668, 27336.
What is 27336 in binary?
110101011001000 (hexadecimal 6AC8, octal 65310).
What is the square root of 27336?
About 165.3360, exactly 2√6834.
Is 27336 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27336?
It is a composite number with 32 divisors.