The number 50311
50311 is the 5163rd prime number. Its only divisors are 1 and 50311.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50311: the 5163rd prime number.
- 2
50311 is prime, so its only factors are 1 and 50311. It is the 5163rd prime; the next prime is 50321 and the one before is 50291.
- 3
The divisors add up to 50312; without 50311 itself that is 1, so 50311 is deficient (1 is less than 50311). Euler's totient φ(50311) = 50310 numbers up to 50311 share no factor with it.
- 4
The digits of 50311 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 233 steps to reach 1.
50311 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50312 |
| Euler totient φ(n) | 50310 |
| Square | 2531196721 |
| Cube | 127347038230231 |
| Square root | 224.301137 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 233 |
| Scientific notation | 5.0311 × |
50311 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and eleven |
| Binary (base 2) | 1100010010000111 |
| Octal (base 8) | 142207 |
| Hexadecimal (base 16) | C487 |
| Base 3 | 2120000101 |
| As time | 50311 seconds = 13 h 58 min 31 s |
Is 50311 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 50311 a prime number?
Yes. 50311 is divisible only by 1 and itself.
What are the factors of 50311?
1, 50311.
What is 50311 in binary?
1100010010000111 (hexadecimal C487, octal 142207).
What is the square root of 50311?
About 224.3011.
Is 50311 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 50311?
50311 is the 5163rd prime number.