The number 27016
27016 is a composite number with 16 divisors. Its prime factorisation is × 11 × 307. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 307, 614, 1228, 2456, 3377, 6754, 13508, 27016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27016 is composite. Its prime factorisation is
- 3
The divisors add up to 55440; without 27016 itself that is 28424, so 27016 is abundant (28424 is more than 27016). Euler's totient φ(27016) = 12240 numbers up to 27016 share no factor with it.
- 4
The digits of 27016 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27016 = 2^{3} \times 11 \times 307 \]27016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 55440 |
| Euler totient φ(n) | 12240 |
| Square | 729864256 |
| Cube | 19718012740096 |
| Square root | 164.365446 (= 2√6754) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7016 × |
27016 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and sixteen |
| Binary (base 2) | 110100110001000 |
| Octal (base 8) | 64610 |
| Hexadecimal (base 16) | 6988 |
| Base 3 | 1101001121 |
| As time | 27016 seconds = 7 h 30 min 16 s |
Is 27016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27016 ÷ 2 = 13508) | 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 (27016 ÷ 4 = 6754) | 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 3) | 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 (27016 ÷ 8 = 3377) | 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 | Yes (27016 ÷ 11 = 2456) | 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 27016 a prime number?
No. 27016 = × 11 × 307, so it is divisible by 2.
What are the factors of 27016?
1, 2, 4, 8, 11, 22, 44, 88, 307, 614, 1228, 2456, 3377, 6754, 13508, 27016.
What is 27016 in binary?
110100110001000 (hexadecimal 6988, octal 64610).
What is the square root of 27016?
About 164.3654, exactly 2√6754.
Is 27016 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27016?
It is a composite number with 16 divisors.