The number 16728
16728 is a composite number with 32 divisors. Its prime factorisation is × 3 × 17 × 41. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 41, 51, 68, 82, 102, 123 … 16728.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16728: a Harshad number: divisible by its digit sum 24.
- 2
16728 is composite. Its prime factorisation is
- 3
The divisors add up to 45360; without 16728 itself that is 28632, so 16728 is abundant (28632 is more than 16728). Euler's totient φ(16728) = 5120 numbers up to 16728 share no factor with it.
- 4
The digits of 16728 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16728 = 2^{3} \times 3 \times 17 \times 41 \]16728 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 45360 |
| Euler totient φ(n) | 5120 |
| Square | 279825984 |
| Cube | 4680929060352 |
| Square root | 129.336770 (= 2√4182) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6728 × |
16728 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and twenty-eight |
| Binary (base 2) | 100000101011000 |
| Octal (base 8) | 40530 |
| Hexadecimal (base 16) | 4158 |
| Base 3 | 211221120 |
| As time | 16728 seconds = 4 h 38 min 48 s |
Is 16728 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16728 ÷ 2 = 8364) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16728 ÷ 3 = 5576) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16728 ÷ 4 = 4182) | 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 (16728 ÷ 6 = 2788) | 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 | Yes (16728 ÷ 8 = 2091) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16728 ÷ 12 = 1394) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16728 a prime number?
No. 16728 = × 3 × 17 × 41, so it is divisible by 2.
What are the factors of 16728?
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 41, 51, 68, 82, 102, 123, 136, 164, 204, 246, 328, 408, 492, 697, 984, 1394, 2091, 2788, 4182, 5576, 8364, 16728.
What is 16728 in binary?
100000101011000 (hexadecimal 4158, octal 40530).
What is the square root of 16728?
About 129.3368, exactly 2√4182.
Is 16728 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16728?
16728 is a Harshad number: divisible by its digit sum 24.