The number 16784
16784 is a composite number with 10 divisors. Its prime factorisation is × 1049. Divisors (10): 1, 2, 4, 8, 16, 1049, 2098, 4196, 8392, 16784.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16784 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16784 is composite. Its prime factorisation is
- 3
The divisors add up to 32550; without 16784 itself that is 15766, so 16784 is deficient (15766 is less than 16784). Euler's totient φ(16784) = 8384 numbers up to 16784 share no factor with it.
- 4
The digits of 16784 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16784 = 2^{4} \times 1049 \]16784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 32550 |
| Euler totient φ(n) | 8384 |
| Square | 281702656 |
| Cube | 4728097378304 |
| Square root | 129.553078 (= 4√1049) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6784 × |
16784 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and eighty-four |
| Binary (base 2) | 100000110010000 |
| Octal (base 8) | 40620 |
| Hexadecimal (base 16) | 4190 |
| Base 3 | 212000122 |
| As time | 16784 seconds = 4 h 39 min 44 s |
Is 16784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16784 ÷ 2 = 8392) | 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 (16784 ÷ 4 = 4196) | 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 2) | 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 (16784 ÷ 8 = 2098) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16784 a prime number?
No. 16784 = × 1049, so it is divisible by 2.
What are the factors of 16784?
1, 2, 4, 8, 16, 1049, 2098, 4196, 8392, 16784.
What is 16784 in binary?
100000110010000 (hexadecimal 4190, octal 40620).
What is the square root of 16784?
About 129.5531, exactly 4√1049.
Is 16784 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 16784?
It is a composite number with 10 divisors.