The number 32443
32443 is a twin prime (32441 and 32443 are both prime) and the 3483rd prime number. Its only divisors are 1 and 32443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32443: a twin prime (32441 and 32443 are both prime); the 3483rd prime number.
- 2
32443 is prime, so its only factors are 1 and 32443. It is the 3483rd prime; the next prime is 32467 and the one before is 32441.
- 3
The divisors add up to 32444; without 32443 itself that is 1, so 32443 is deficient (1 is less than 32443). Euler's totient φ(32443) = 32442 numbers up to 32443 share no factor with it.
- 4
The digits of 32443 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
32443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32444 |
| Euler totient φ(n) | 32442 |
| Square | 1052548249 |
| Cube | 34147822842307 |
| Square root | 180.119405 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.2443 × |
32443 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and forty-three |
| Binary (base 2) | 111111010111011 |
| Octal (base 8) | 77273 |
| Hexadecimal (base 16) | 7EBB |
| Base 3 | 1122111121 |
| As time | 32443 seconds = 9 h 0 min 43 s |
Is 32443 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32443 a prime number?
Yes. 32443 is divisible only by 1 and itself.
What are the factors of 32443?
1, 32443.
What is 32443 in binary?
111111010111011 (hexadecimal 7EBB, octal 77273).
What is the square root of 32443?
About 180.1194.
Is 32443 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 32443?
32443 is a twin prime (32441 and 32443 are both prime); the 3483rd prime number.