The number 16828
16828 is a composite number with 12 divisors. Its prime factorisation is × 7 × 601. Divisors (12): 1, 2, 4, 7, 14, 28, 601, 1202, 2404, 4207, 8414, 16828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16828 is composite. Its prime factorisation is
- 3
The divisors add up to 33712; without 16828 itself that is 16884, so 16828 is abundant (16884 is more than 16828). Euler's totient φ(16828) = 7200 numbers up to 16828 share no factor with it.
- 4
The digits of 16828 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16828 = 2^{2} \times 7 \times 601 \]16828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 33712 |
| Euler totient φ(n) | 7200 |
| Square | 283181584 |
| Cube | 4765379695552 |
| Square root | 129.722781 (= 2√4207) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.6828 × |
16828 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and twenty-eight |
| Binary (base 2) | 100000110111100 |
| Octal (base 8) | 40674 |
| Hexadecimal (base 16) | 41BC |
| Base 3 | 212002021 |
| As time | 16828 seconds = 4 h 40 min 28 s |
Is 16828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16828 ÷ 2 = 8414) | 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 (16828 ÷ 4 = 4207) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16828 ÷ 7 = 2404) | 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 | No (remainder 7) | 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 9) | 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 16828 a prime number?
No. 16828 = × 7 × 601, so it is divisible by 2.
What are the factors of 16828?
1, 2, 4, 7, 14, 28, 601, 1202, 2404, 4207, 8414, 16828.
What is 16828 in binary?
100000110111100 (hexadecimal 41BC, octal 40674).
What is the square root of 16828?
About 129.7228, exactly 2√4207.
Is 16828 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 16828?
It is a composite number with 12 divisors.