The number 83443
83443 is the 8147th prime number. Its only divisors are 1 and 83443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83443: the 8147th prime number.
- 2
83443 is prime, so its only factors are 1 and 83443. It is the 8147th prime; the next prime is 83449 and the one before is 83437.
- 3
The divisors add up to 83444; without 83443 itself that is 1, so 83443 is deficient (1 is less than 83443). Euler's totient φ(83443) = 83442 numbers up to 83443 share no factor with it.
- 4
The digits of 83443 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
83443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 83444 |
| Euler totient φ(n) | 83442 |
| Square | 6962734249 |
| Cube | 580991433939307 |
| Square root | 288.865020 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3443 × |
83443 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and forty-three |
| Binary (base 2) | 10100010111110011 |
| Octal (base 8) | 242763 |
| Hexadecimal (base 16) | 145F3 |
| Base 3 | 11020110111 |
| As time | 83443 seconds = 23 h 10 min 43 s |
Is 83443 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | 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 83443 a prime number?
Yes. 83443 is divisible only by 1 and itself.
What are the factors of 83443?
1, 83443.
What is 83443 in binary?
10100010111110011 (hexadecimal 145F3, octal 242763).
What is the square root of 83443?
About 288.8650.
Is 83443 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 83443?
83443 is the 8147th prime number.