The number 30971
30971 is the 3338th prime number. Its only divisors are 1 and 30971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30971: the 3338th prime number.
- 2
30971 is prime, so its only factors are 1 and 30971. It is the 3338th prime; the next prime is 30977 and the one before is 30949.
- 3
The divisors add up to 30972; without 30971 itself that is 1, so 30971 is deficient (1 is less than 30971). Euler's totient φ(30971) = 30970 numbers up to 30971 share no factor with it.
- 4
The digits of 30971 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 160 steps to reach 1.
30971 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 30972 |
| Euler totient φ(n) | 30970 |
| Square | 959202841 |
| Cube | 29707471188611 |
| Square root | 175.985795 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.0971 × |
30971 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand nine hundred and seventy-one |
| Binary (base 2) | 111100011111011 |
| Octal (base 8) | 74373 |
| Hexadecimal (base 16) | 78FB |
| Base 3 | 1120111002 |
| As time | 30971 seconds = 8 h 36 min 11 s |
Is 30971 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 3) | 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 6) | 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 30971 a prime number?
Yes. 30971 is divisible only by 1 and itself.
What are the factors of 30971?
1, 30971.
What is 30971 in binary?
111100011111011 (hexadecimal 78FB, octal 74373).
What is the square root of 30971?
About 175.9858.
Is 30971 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 30971?
30971 is the 3338th prime number.