The number 32771
32771 is the 3513th prime number. Its only divisors are 1 and 32771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32771: the 3513th prime number.
- 2
32771 is prime, so its only factors are 1 and 32771. It is the 3513th prime; the next prime is 32779 and the one before is 32749.
- 3
The divisors add up to 32772; without 32771 itself that is 1, so 32771 is deficient (1 is less than 32771). Euler's totient φ(32771) = 32770 numbers up to 32771 share no factor with it.
- 4
The digits of 32771 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
32771 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32772 |
| Euler totient φ(n) | 32770 |
| Square | 1073938441 |
| Cube | 35194036650011 |
| Square root | 181.027622 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.2771 × |
32771 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and seventy-one |
| Binary (base 2) | 1000000000000011 |
| Octal (base 8) | 100003 |
| Hexadecimal (base 16) | 8003 |
| Base 3 | 1122221202 |
| As time | 32771 seconds = 9 h 6 min 11 s |
Is 32771 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 3) | 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 4) | 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 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32771 a prime number?
Yes. 32771 is divisible only by 1 and itself.
What are the factors of 32771?
1, 32771.
What is 32771 in binary?
1000000000000011 (hexadecimal 8003, octal 100003).
What is the square root of 32771?
About 181.0276.
Is 32771 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32771?
32771 is the 3513th prime number.