The number 17028
17028 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 43. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 43, 44, 66, 86 … 17028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17028: a Harshad number: divisible by its digit sum 18.
- 2
17028 is composite. Its prime factorisation is
- 3
The divisors add up to 48048; without 17028 itself that is 31020, so 17028 is abundant (31020 is more than 17028). Euler's totient φ(17028) = 5040 numbers up to 17028 share no factor with it.
- 4
The digits of 17028 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17028 = 2^{2} \times 3^{2} \times 11 \times 43 \]17028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 48048 |
| Euler totient φ(n) | 5040 |
| Square | 289952784 |
| Cube | 4937316005952 |
| Square root | 130.491379 (= 6√473) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.7028 × |
17028 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and twenty-eight |
| Binary (base 2) | 100001010000100 |
| Octal (base 8) | 41204 |
| Hexadecimal (base 16) | 4284 |
| Base 3 | 212100200 |
| As time | 17028 seconds = 4 h 43 min 48 s |
Is 17028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17028 ÷ 2 = 8514) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17028 ÷ 3 = 5676) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17028 ÷ 4 = 4257) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (17028 ÷ 6 = 2838) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (17028 ÷ 9 = 1892) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (17028 ÷ 11 = 1548) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (17028 ÷ 12 = 1419) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17028 a prime number?
No. 17028 = × × 11 × 43, so it is divisible by 2.
What are the factors of 17028?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 43, 44, 66, 86, 99, 129, 132, 172, 198, 258, 387, 396, 473, 516, 774, 946, 1419, 1548, 1892, 2838, 4257, 5676, 8514, 17028.
What is 17028 in binary?
100001010000100 (hexadecimal 4284, octal 41204).
What is the square root of 17028?
About 130.4914, exactly 6√473.
Is 17028 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 17028?
17028 is a Harshad number: divisible by its digit sum 18.