The number 6834
6834 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 67. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6834 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6834 is composite. Its prime factorisation is
- 3
The divisors add up to 14688; without 6834 itself that is 7854, so 6834 is abundant (7854 is more than 6834). Euler's totient φ(6834) = 2112 numbers up to 6834 share no factor with it.
- 4
The digits of 6834 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6834 = 2 \times 3 \times 17 \times 67 \]
6834 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14688 |
| Euler totient φ(n) | 2112 |
| Square | 46703556 |
| Cube | 319172101704 |
| Square root | 82.668011 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 6.834 × |
6834 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and thirty-four |
| Binary (base 2) | 1101010110010 |
| Octal (base 8) | 15262 |
| Hexadecimal (base 16) | 1AB2 |
| Base 3 | 100101010 |
| As time | 6834 seconds = 1 h 53 min 54 s |
Is 6834 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6834 ÷ 2 = 3417) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6834 ÷ 3 = 2278) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (6834 ÷ 6 = 1139) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6834 a prime number?
No. 6834 = 2 × 3 × 17 × 67, so it is divisible by 2.
What are the factors of 6834?
1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834.
What is 6834 in binary?
1101010110010 (hexadecimal 1AB2, octal 15262).
What is the square root of 6834?
About 82.6680.
Is 6834 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6834?
It is a composite number with 16 divisors.