The number 32143
32143 is a twin prime (32141 and 32143 are both prime) and the 3449th prime number. Its only divisors are 1 and 32143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32143: a twin prime (32141 and 32143 are both prime); the 3449th prime number.
- 2
32143 is prime, so its only factors are 1 and 32143. It is the 3449th prime; the next prime is 32159 and the one before is 32141.
- 3
The divisors add up to 32144; without 32143 itself that is 1, so 32143 is deficient (1 is less than 32143). Euler's totient φ(32143) = 32142 numbers up to 32143 share no factor with it.
- 4
The digits of 32143 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
32143 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32144 |
| Euler totient φ(n) | 32142 |
| Square | 1033172449 |
| Cube | 33209262028207 |
| Square root | 179.284690 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.2143 × |
32143 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and forty-three |
| Binary (base 2) | 111110110001111 |
| Octal (base 8) | 76617 |
| Hexadecimal (base 16) | 7D8F |
| Base 3 | 1122002111 |
| As time | 32143 seconds = 8 h 55 min 43 s |
Is 32143 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 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 | 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 1) | 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 32143 a prime number?
Yes. 32143 is divisible only by 1 and itself.
What are the factors of 32143?
1, 32143.
What is 32143 in binary?
111110110001111 (hexadecimal 7D8F, octal 76617).
What is the square root of 32143?
About 179.2847.
Is 32143 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 32143?
32143 is a twin prime (32141 and 32143 are both prime); the 3449th prime number.