The number 50971
50971 is a twin prime (50969 and 50971 are both prime) and the 5220th prime number. Its only divisors are 1 and 50971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50971: a twin prime (50969 and 50971 are both prime); the 5220th prime number.
- 2
50971 is prime, so its only factors are 1 and 50971. It is the 5220th prime; the next prime is 50989 and the one before is 50969.
- 3
The divisors add up to 50972; without 50971 itself that is 1, so 50971 is deficient (1 is less than 50971). Euler's totient φ(50971) = 50970 numbers up to 50971 share no factor with it.
- 4
The digits of 50971 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 171 steps to reach 1.
50971 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50972 |
| Euler totient φ(n) | 50970 |
| Square | 2598042841 |
| Cube | 132424841648611 |
| Square root | 225.767580 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.0971 × |
50971 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and seventy-one |
| Binary (base 2) | 1100011100011011 |
| Octal (base 8) | 143433 |
| Hexadecimal (base 16) | C71B |
| Base 3 | 2120220211 |
| As time | 50971 seconds = 14 h 9 min 31 s |
Is 50971 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 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 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 8) | 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 50971 a prime number?
Yes. 50971 is divisible only by 1 and itself.
What are the factors of 50971?
1, 50971.
What is 50971 in binary?
1100011100011011 (hexadecimal C71B, octal 143433).
What is the square root of 50971?
About 225.7676.
Is 50971 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 50971?
50971 is a twin prime (50969 and 50971 are both prime); the 5220th prime number.