The number 8343
8343 is a composite number with 10 divisors. Its prime factorisation is × 103. Divisors (10): 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8343 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8343 is composite. Its prime factorisation is
- 3
The divisors add up to 12584; without 8343 itself that is 4241, so 8343 is deficient (4241 is less than 8343). Euler's totient φ(8343) = 5508 numbers up to 8343 share no factor with it.
- 4
The digits of 8343 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8343 = 3^{4} \times 103 \]8343 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 12584 |
| Euler totient φ(n) | 5508 |
| Square | 69605649 |
| Cube | 580719929607 |
| Square root | 91.340024 (= 9√103) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.343 × |
8343 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and forty-three |
| Binary (base 2) | 10000010010111 |
| Octal (base 8) | 20227 |
| Hexadecimal (base 16) | 2097 |
| Base 3 | 102110000 |
| As time | 8343 seconds = 2 h 19 min 3 s |
Is 8343 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8343 ÷ 3 = 2781) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8343 ÷ 9 = 927) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8343 a prime number?
No. 8343 = × 103, so it is divisible by 3.
What are the factors of 8343?
1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343.
What is 8343 in binary?
10000010010111 (hexadecimal 2097, octal 20227).
What is the square root of 8343?
About 91.3400, exactly 9√103.
Is 8343 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8343?
It is a composite number with 10 divisors.