The number 16684
16684 is a composite number with 12 divisors. Its prime factorisation is × 43 × 97. Divisors (12): 1, 2, 4, 43, 86, 97, 172, 194, 388, 4171, 8342, 16684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16684 is composite. Its prime factorisation is
- 3
The divisors add up to 30184; without 16684 itself that is 13500, so 16684 is deficient (13500 is less than 16684). Euler's totient φ(16684) = 8064 numbers up to 16684 share no factor with it.
- 4
The digits of 16684 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 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16684 = 2^{2} \times 43 \times 97 \]16684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30184 |
| Euler totient φ(n) | 8064 |
| Square | 278355856 |
| Cube | 4644089101504 |
| Square root | 129.166559 (= 2√4171) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6684 × |
16684 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and eighty-four |
| Binary (base 2) | 100000100101100 |
| Octal (base 8) | 40454 |
| Hexadecimal (base 16) | 412C |
| Base 3 | 211212221 |
| As time | 16684 seconds = 4 h 38 min 4 s |
Is 16684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16684 ÷ 2 = 8342) | 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 (16684 ÷ 4 = 4171) | 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 | No (remainder 4) | 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 | 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 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16684 a prime number?
No. 16684 = × 43 × 97, so it is divisible by 2.
What are the factors of 16684?
1, 2, 4, 43, 86, 97, 172, 194, 388, 4171, 8342, 16684.
What is 16684 in binary?
100000100101100 (hexadecimal 412C, octal 40454).
What is the square root of 16684?
About 129.1666, exactly 2√4171.
Is 16684 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 16684?
It is a composite number with 12 divisors.