The number 27616
27616 is a composite number with 12 divisors. Its prime factorisation is × 863. Divisors (12): 1, 2, 4, 8, 16, 32, 863, 1726, 3452, 6904, 13808, 27616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27616 is composite. Its prime factorisation is
- 3
The divisors add up to 54432; without 27616 itself that is 26816, so 27616 is deficient (26816 is less than 27616). Euler's totient φ(27616) = 13792 numbers up to 27616 share no factor with it.
- 4
The digits of 27616 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27616 = 2^{5} \times 863 \]27616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54432 |
| Euler totient φ(n) | 13792 |
| Square | 762643456 |
| Cube | 21061161680896 |
| Square root | 166.180625 (= 4√1726) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7616 × |
27616 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and sixteen |
| Binary (base 2) | 110101111100000 |
| Octal (base 8) | 65740 |
| Hexadecimal (base 16) | 6BE0 |
| Base 3 | 1101212211 |
| As time | 27616 seconds = 7 h 40 min 16 s |
Is 27616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27616 ÷ 2 = 13808) | 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 (27616 ÷ 4 = 6904) | 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 | 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 | Yes (27616 ÷ 8 = 3452) | 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 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27616 a prime number?
No. 27616 = × 863, so it is divisible by 2.
What are the factors of 27616?
1, 2, 4, 8, 16, 32, 863, 1726, 3452, 6904, 13808, 27616.
What is 27616 in binary?
110101111100000 (hexadecimal 6BE0, octal 65740).
What is the square root of 27616?
About 166.1806, exactly 4√1726.
Is 27616 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27616?
It is a composite number with 12 divisors.