The number 28016
28016 is a composite number with 20 divisors. Its prime factorisation is × 17 × 103. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 103, 136, 206, 272, 412, 824, 1648, 1751 … 28016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28016: a Harshad number: divisible by its digit sum 17.
- 2
28016 is composite. Its prime factorisation is
- 3
The divisors add up to 58032; without 28016 itself that is 30016, so 28016 is abundant (30016 is more than 28016). Euler's totient φ(28016) = 13056 numbers up to 28016 share no factor with it.
- 4
The digits of 28016 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 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28016 = 2^{4} \times 17 \times 103 \]28016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 58032 |
| Euler totient φ(n) | 13056 |
| Square | 784896256 |
| Cube | 21989653508096 |
| Square root | 167.379808 (= 4√1751) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.8016 × |
28016 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand and sixteen |
| Binary (base 2) | 110110101110000 |
| Octal (base 8) | 66560 |
| Hexadecimal (base 16) | 6D70 |
| Base 3 | 1102102122 |
| As time | 28016 seconds = 7 h 46 min 56 s |
Is 28016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28016 ÷ 2 = 14008) | 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 (28016 ÷ 4 = 7004) | 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 2) | 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 (28016 ÷ 8 = 3502) | 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 10) | 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 28016 a prime number?
No. 28016 = × 17 × 103, so it is divisible by 2.
What are the factors of 28016?
1, 2, 4, 8, 16, 17, 34, 68, 103, 136, 206, 272, 412, 824, 1648, 1751, 3502, 7004, 14008, 28016.
What is 28016 in binary?
110110101110000 (hexadecimal 6D70, octal 66560).
What is the square root of 28016?
About 167.3798, exactly 4√1751.
Is 28016 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 28016?
28016 is a Harshad number: divisible by its digit sum 17.