The number 50291
50291 is the 5162nd prime number. Its only divisors are 1 and 50291.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50291: the 5162nd prime number.
- 2
50291 is prime, so its only factors are 1 and 50291. It is the 5162nd prime; the next prime is 50311 and the one before is 50287.
- 3
The divisors add up to 50292; without 50291 itself that is 1, so 50291 is deficient (1 is less than 50291). Euler's totient φ(50291) = 50290 numbers up to 50291 share no factor with it.
- 4
The digits of 50291 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
50291 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50292 |
| Euler totient φ(n) | 50290 |
| Square | 2529184681 |
| Cube | 127195226792171 |
| Square root | 224.256550 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 114 |
| Scientific notation | 5.0291 × |
50291 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand two hundred and ninety-one |
| Binary (base 2) | 1100010001110011 |
| Octal (base 8) | 142163 |
| Hexadecimal (base 16) | C473 |
| Base 3 | 2112222122 |
| As time | 50291 seconds = 13 h 58 min 11 s |
Is 50291 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 8) | 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 10) | 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 50291 a prime number?
Yes. 50291 is divisible only by 1 and itself.
What are the factors of 50291?
1, 50291.
What is 50291 in binary?
1100010001110011 (hexadecimal C473, octal 142163).
What is the square root of 50291?
About 224.2565.
Is 50291 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 50291?
50291 is the 5162nd prime number.