The number 27116
27116 is a composite number with 6 divisors. Its prime factorisation is × 6779. Divisors (6): 1, 2, 4, 6779, 13558, 27116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27116: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27116 is composite. Its prime factorisation is
- 3
The divisors add up to 47460; without 27116 itself that is 20344, so 27116 is deficient (20344 is less than 27116). Euler's totient φ(27116) = 13556 numbers up to 27116 share no factor with it.
- 4
The digits of 27116 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27116 = 2^{2} \times 6779 \]27116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 47460 |
| Euler totient φ(n) | 13556 |
| Square | 735277456 |
| Cube | 19937783496896 |
| Square root | 164.669366 (= 2√6779) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7116 × |
27116 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and sixteen |
| Binary (base 2) | 110100111101100 |
| Octal (base 8) | 64754 |
| Hexadecimal (base 16) | 69EC |
| Base 3 | 1101012022 |
| As time | 27116 seconds = 7 h 31 min 56 s |
Is 27116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27116 ÷ 2 = 13558) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27116 ÷ 4 = 6779) | 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 2) | 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 | No (remainder 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27116 a prime number?
No. 27116 = × 6779, so it is divisible by 2.
What are the factors of 27116?
1, 2, 4, 6779, 13558, 27116.
What is 27116 in binary?
110100111101100 (hexadecimal 69EC, octal 64754).
What is the square root of 27116?
About 164.6694, exactly 2√6779.
Is 27116 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27116?
27116 is a happy number: repeatedly adding the squares of its digits reaches 1.