The number 8443
8443 is the 1056th prime number. Its only divisors are 1 and 8443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8443: the 1056th prime number.
- 2
8443 is prime, so its only factors are 1 and 8443. It is the 1056th prime; the next prime is 8447 and the one before is 8431.
- 3
The divisors add up to 8444; without 8443 itself that is 1, so 8443 is deficient (1 is less than 8443). Euler's totient φ(8443) = 8442 numbers up to 8443 share no factor with it.
- 4
The digits of 8443 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
8443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8444 |
| Euler totient φ(n) | 8442 |
| Square | 71284249 |
| Cube | 601852914307 |
| Square root | 91.885799 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 109 |
| Scientific notation | 8.443 × |
8443 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and forty-three |
| Binary (base 2) | 10000011111011 |
| Octal (base 8) | 20373 |
| Hexadecimal (base 16) | 20FB |
| Base 3 | 102120201 |
| As time | 8443 seconds = 2 h 20 min 43 s |
Is 8443 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8443 a prime number?
Yes. 8443 is divisible only by 1 and itself.
What are the factors of 8443?
1, 8443.
What is 8443 in binary?
10000011111011 (hexadecimal 20FB, octal 20373).
What is the square root of 8443?
About 91.8858.
Is 8443 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8443?
8443 is the 1056th prime number.