The number 16824
16824 is a composite number with 16 divisors. Its prime factorisation is × 3 × 701. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 701, 1402, 2103, 2804, 4206, 5608, 8412, 16824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16824 is composite. Its prime factorisation is
- 3
The divisors add up to 42120; without 16824 itself that is 25296, so 16824 is abundant (25296 is more than 16824). Euler's totient φ(16824) = 5600 numbers up to 16824 share no factor with it.
- 4
The digits of 16824 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16824 = 2^{3} \times 3 \times 701 \]16824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 42120 |
| Euler totient φ(n) | 5600 |
| Square | 283046976 |
| Cube | 4761982324224 |
| Square root | 129.707363 (= 2√4206) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6824 × |
16824 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and twenty-four |
| Binary (base 2) | 100000110111000 |
| Octal (base 8) | 40670 |
| Hexadecimal (base 16) | 41B8 |
| Base 3 | 212002010 |
| As time | 16824 seconds = 4 h 40 min 24 s |
Is 16824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16824 ÷ 2 = 8412) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16824 ÷ 3 = 5608) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16824 ÷ 4 = 4206) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16824 ÷ 6 = 2804) | 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 | Yes (16824 ÷ 8 = 2103) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16824 ÷ 12 = 1402) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16824 a prime number?
No. 16824 = × 3 × 701, so it is divisible by 2.
What are the factors of 16824?
1, 2, 3, 4, 6, 8, 12, 24, 701, 1402, 2103, 2804, 4206, 5608, 8412, 16824.
What is 16824 in binary?
100000110111000 (hexadecimal 41B8, octal 40670).
What is the square root of 16824?
About 129.7074, exactly 2√4206.
Is 16824 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16824?
It is a composite number with 16 divisors.