The number 27696
27696 is a composite number with 20 divisors. Its prime factorisation is × 3 × 577. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 577, 1154, 1731, 2308, 3462, 4616 … 27696.
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How to work it out
- 1
27696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27696 is composite. Its prime factorisation is
- 3
The divisors add up to 71672; without 27696 itself that is 43976, so 27696 is abundant (43976 is more than 27696). Euler's totient φ(27696) = 9216 numbers up to 27696 share no factor with it.
- 4
The digits of 27696 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27696 = 2^{4} \times 3 \times 577 \]27696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 71672 |
| Euler totient φ(n) | 9216 |
| Square | 767068416 |
| Cube | 21244726849536 |
| Square root | 166.421153 (= 4√1731) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7696 × |
27696 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and ninety-six |
| Binary (base 2) | 110110000110000 |
| Octal (base 8) | 66060 |
| Hexadecimal (base 16) | 6C30 |
| Base 3 | 1101222210 |
| As time | 27696 seconds = 7 h 41 min 36 s |
Is 27696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27696 ÷ 2 = 13848) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27696 ÷ 3 = 9232) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27696 ÷ 4 = 6924) | 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 (27696 ÷ 6 = 4616) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (27696 ÷ 8 = 3462) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27696 ÷ 12 = 2308) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27696 a prime number?
No. 27696 = × 3 × 577, so it is divisible by 2.
What are the factors of 27696?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 577, 1154, 1731, 2308, 3462, 4616, 6924, 9232, 13848, 27696.
What is 27696 in binary?
110110000110000 (hexadecimal 6C30, octal 66060).
What is the square root of 27696?
About 166.4212, exactly 4√1731.
Is 27696 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 27696?
It is a composite number with 20 divisors.