The number 8342
8342 is a composite number with 8 divisors. Its prime factorisation is 2 × 43 × 97. Divisors (8): 1, 2, 43, 86, 97, 194, 4171, 8342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8342 is composite. Its prime factorisation is
- 3
The divisors add up to 12936; without 8342 itself that is 4594, so 8342 is deficient (4594 is less than 8342). Euler's totient φ(8342) = 4032 numbers up to 8342 share no factor with it.
- 4
The digits of 8342 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8342 = 2 \times 43 \times 97 \]
8342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12936 |
| Euler totient φ(n) | 4032 |
| Square | 69588964 |
| Cube | 580511137688 |
| Square root | 91.334550 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.342 × |
8342 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and forty-two |
| Binary (base 2) | 10000010010110 |
| Octal (base 8) | 20226 |
| Hexadecimal (base 16) | 2096 |
| Base 3 | 102102222 |
| As time | 8342 seconds = 2 h 19 min 2 s |
Is 8342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8342 ÷ 2 = 4171) | 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 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 | No (remainder 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 8342 a prime number?
No. 8342 = 2 × 43 × 97, so it is divisible by 2.
What are the factors of 8342?
1, 2, 43, 86, 97, 194, 4171, 8342.
What is 8342 in binary?
10000010010110 (hexadecimal 2096, octal 20226).
What is the square root of 8342?
About 91.3345.
Is 8342 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8342?
It is a composite number with 8 divisors.