The number 32971
32971 is a twin prime (32969 and 32971 are both prime) and the 3534th prime number. Its only divisors are 1 and 32971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32971: a twin prime (32969 and 32971 are both prime); the 3534th prime number.
- 2
32971 is prime, so its only factors are 1 and 32971. It is the 3534th prime; the next prime is 32983 and the one before is 32969.
- 3
The divisors add up to 32972; without 32971 itself that is 1, so 32971 is deficient (1 is less than 32971). Euler's totient φ(32971) = 32970 numbers up to 32971 share no factor with it.
- 4
The digits of 32971 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 160 steps to reach 1.
32971 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32972 |
| Euler totient φ(n) | 32970 |
| Square | 1087086841 |
| Cube | 35842340234611 |
| Square root | 181.579184 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2971 × |
32971 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and seventy-one |
| Binary (base 2) | 1000000011001011 |
| Octal (base 8) | 100313 |
| Hexadecimal (base 16) | 80CB |
| Base 3 | 1200020011 |
| As time | 32971 seconds = 9 h 9 min 31 s |
Is 32971 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 1) | 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 1) | 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 1) | 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 32971 a prime number?
Yes. 32971 is divisible only by 1 and itself.
What are the factors of 32971?
1, 32971.
What is 32971 in binary?
1000000011001011 (hexadecimal 80CB, octal 100313).
What is the square root of 32971?
About 181.5792.
Is 32971 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 32971?
32971 is a twin prime (32969 and 32971 are both prime); the 3534th prime number.