The number 6842
6842 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 311. Divisors (8): 1, 2, 11, 22, 311, 622, 3421, 6842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6842 is composite. Its prime factorisation is
- 3
The divisors add up to 11232; without 6842 itself that is 4390, so 6842 is deficient (4390 is less than 6842). Euler's totient φ(6842) = 3100 numbers up to 6842 share no factor with it.
- 4
The digits of 6842 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6842 = 2 \times 11 \times 311 \]
6842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11232 |
| Euler totient φ(n) | 3100 |
| Square | 46812964 |
| Cube | 320294299688 |
| Square root | 82.716383 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 6.842 × |
6842 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and forty-two |
| Binary (base 2) | 1101010111010 |
| Octal (base 8) | 15272 |
| Hexadecimal (base 16) | 1ABA |
| Base 3 | 100101102 |
| As time | 6842 seconds = 1 h 54 min 2 s |
Is 6842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6842 ÷ 2 = 3421) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (6842 ÷ 11 = 622) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6842 a prime number?
No. 6842 = 2 × 11 × 311, so it is divisible by 2.
What are the factors of 6842?
1, 2, 11, 22, 311, 622, 3421, 6842.
What is 6842 in binary?
1101010111010 (hexadecimal 1ABA, octal 15272).
What is the square root of 6842?
About 82.7164.
Is 6842 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 6842?
It is a composite number with 8 divisors.