The number 8243
8243 is the 1035th prime number. Its only divisors are 1 and 8243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8243: the 1035th prime number.
- 2
8243 is prime, so its only factors are 1 and 8243. It is the 1035th prime; the next prime is 8263 and the one before is 8237.
- 3
The divisors add up to 8244; without 8243 itself that is 1, so 8243 is deficient (1 is less than 8243). Euler's totient φ(8243) = 8242 numbers up to 8243 share no factor with it.
- 4
The digits of 8243 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 65 steps to reach 1.
8243 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8244 |
| Euler totient φ(n) | 8242 |
| Square | 67947049 |
| Cube | 560087524907 |
| Square root | 90.790969 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.243 × |
8243 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and forty-three |
| Binary (base 2) | 10000000110011 |
| Octal (base 8) | 20063 |
| Hexadecimal (base 16) | 2033 |
| Base 3 | 102022022 |
| As time | 8243 seconds = 2 h 17 min 23 s |
Is 8243 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8243 a prime number?
Yes. 8243 is divisible only by 1 and itself.
What are the factors of 8243?
1, 8243.
What is 8243 in binary?
10000000110011 (hexadecimal 2033, octal 20063).
What is the square root of 8243?
About 90.7910.
Is 8243 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8243?
8243 is the 1035th prime number.