The number 28017
28017 is a composite number with 12 divisors. Its prime factorisation is × 11 × 283. Divisors (12): 1, 3, 9, 11, 33, 99, 283, 849, 2547, 3113, 9339, 28017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28017 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28017 is composite. Its prime factorisation is
- 3
The divisors add up to 44304; without 28017 itself that is 16287, so 28017 is deficient (16287 is less than 28017). Euler's totient φ(28017) = 16920 numbers up to 28017 share no factor with it.
- 4
The digits of 28017 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28017 = 3^{2} \times 11 \times 283 \]28017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 44304 |
| Euler totient φ(n) | 16920 |
| Square | 784952289 |
| Cube | 21992008280913 |
| Square root | 167.382795 (= 3√3113) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.8017 × |
28017 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand and seventeen |
| Binary (base 2) | 110110101110001 |
| Octal (base 8) | 66561 |
| Hexadecimal (base 16) | 6D71 |
| Base 3 | 1102102200 |
| As time | 28017 seconds = 7 h 46 min 57 s |
Is 28017 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28017 ÷ 3 = 9339) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (28017 ÷ 9 = 3113) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (28017 ÷ 11 = 2547) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28017 a prime number?
No. 28017 = × 11 × 283, so it is divisible by 3.
What are the factors of 28017?
1, 3, 9, 11, 33, 99, 283, 849, 2547, 3113, 9339, 28017.
What is 28017 in binary?
110110101110001 (hexadecimal 6D71, octal 66561).
What is the square root of 28017?
About 167.3828, exactly 3√3113.
Is 28017 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 28017?
It is a composite number with 12 divisors.