The number 32321
32321 is a twin prime (32321 and 32323 are both prime) and the 3466th prime number. Its only divisors are 1 and 32321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32321: a twin prime (32321 and 32323 are both prime); the 3466th prime number.
- 2
32321 is prime, so its only factors are 1 and 32321. It is the 3466th prime; the next prime is 32323 and the one before is 32309.
- 3
The divisors add up to 32322; without 32321 itself that is 1, so 32321 is deficient (1 is less than 32321). Euler's totient φ(32321) = 32320 numbers up to 32321 share no factor with it.
- 4
The digits of 32321 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
32321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32322 |
| Euler totient φ(n) | 32320 |
| Square | 1044647041 |
| Cube | 33764037012161 |
| Square root | 179.780422 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.2321 × |
32321 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand three hundred and twenty-one |
| Binary (base 2) | 111111001000001 |
| Octal (base 8) | 77101 |
| Hexadecimal (base 16) | 7E41 |
| Base 3 | 1122100002 |
| As time | 32321 seconds = 8 h 58 min 41 s |
Is 32321 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32321 a prime number?
Yes. 32321 is divisible only by 1 and itself.
What are the factors of 32321?
1, 32321.
What is 32321 in binary?
111111001000001 (hexadecimal 7E41, octal 77101).
What is the square root of 32321?
About 179.7804.
Is 32321 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 32321?
32321 is a twin prime (32321 and 32323 are both prime); the 3466th prime number.