The number 6784
6784 is a composite number with 16 divisors. Its prime factorisation is × 53. Divisors (16): 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784.
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How to work it out
- 1
6784 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6784 is composite. Its prime factorisation is
- 3
The divisors add up to 13770; without 6784 itself that is 6986, so 6784 is abundant (6986 is more than 6784). Euler's totient φ(6784) = 3328 numbers up to 6784 share no factor with it.
- 4
The digits of 6784 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 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6784 = 2^{7} \times 53 \]6784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13770 |
| Euler totient φ(n) | 3328 |
| Square | 46022656 |
| Cube | 312217698304 |
| Square root | 82.365041 (= 8√106) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 18 |
| Scientific notation | 6.784 × |
6784 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and eighty-four |
| Binary (base 2) | 1101010000000 |
| Octal (base 8) | 15200 |
| Hexadecimal (base 16) | 1A80 |
| Base 3 | 100022021 |
| As time | 6784 seconds = 1 h 53 min 4 s |
Is 6784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6784 ÷ 2 = 3392) | 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 (6784 ÷ 4 = 1696) | 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 1) | 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 (6784 ÷ 8 = 848) | 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 6784 a prime number?
No. 6784 = × 53, so it is divisible by 2.
What are the factors of 6784?
1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784.
What is 6784 in binary?
1101010000000 (hexadecimal 1A80, octal 15200).
What is the square root of 6784?
About 82.3650, exactly 8√106.
Is 6784 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 6784?
It is a composite number with 16 divisors.