The number 27916
27916 is a composite number with 12 divisors. Its prime factorisation is × 7 × 997. Divisors (12): 1, 2, 4, 7, 14, 28, 997, 1994, 3988, 6979, 13958, 27916.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27916 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27916 is composite. Its prime factorisation is
- 3
The divisors add up to 55888; without 27916 itself that is 27972, so 27916 is abundant (27972 is more than 27916). Euler's totient φ(27916) = 11952 numbers up to 27916 share no factor with it.
- 4
The digits of 27916 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27916 = 2^{2} \times 7 \times 997 \]27916 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 55888 |
| Euler totient φ(n) | 11952 |
| Square | 779303056 |
| Cube | 21755024111296 |
| Square root | 167.080819 (= 2√6979) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7916 × |
27916 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and sixteen |
| Binary (base 2) | 110110100001100 |
| Octal (base 8) | 66414 |
| Hexadecimal (base 16) | 6D0C |
| Base 3 | 1102021221 |
| As time | 27916 seconds = 7 h 45 min 16 s |
Is 27916 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27916 ÷ 2 = 13958) | 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 (27916 ÷ 4 = 6979) | 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 | Yes (27916 ÷ 7 = 3988) | 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 | No (remainder 7) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27916 a prime number?
No. 27916 = × 7 × 997, so it is divisible by 2.
What are the factors of 27916?
1, 2, 4, 7, 14, 28, 997, 1994, 3988, 6979, 13958, 27916.
What is 27916 in binary?
110110100001100 (hexadecimal 6D0C, octal 66414).
What is the square root of 27916?
About 167.0808, exactly 2√6979.
Is 27916 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 27916?
It is a composite number with 12 divisors.