The number 50321
50321 is the 5164th prime number. Its only divisors are 1 and 50321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50321: the 5164th prime number.
- 2
50321 is prime, so its only factors are 1 and 50321. It is the 5164th prime; the next prime is 50329 and the one before is 50311.
- 3
The divisors add up to 50322; without 50321 itself that is 1, so 50321 is deficient (1 is less than 50321). Euler's totient φ(50321) = 50320 numbers up to 50321 share no factor with it.
- 4
The digits of 50321 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
50321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50322 |
| Euler totient φ(n) | 50320 |
| Square | 2532203041 |
| Cube | 127422989226161 |
| Square root | 224.323427 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0321 × |
50321 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and twenty-one |
| Binary (base 2) | 1100010010010001 |
| Octal (base 8) | 142221 |
| Hexadecimal (base 16) | C491 |
| Base 3 | 2120000202 |
| As time | 50321 seconds = 13 h 58 min 41 s |
Is 50321 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 1) | 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 5) | 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 1) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50321 a prime number?
Yes. 50321 is divisible only by 1 and itself.
What are the factors of 50321?
1, 50321.
What is 50321 in binary?
1100010010010001 (hexadecimal C491, octal 142221).
What is the square root of 50321?
About 224.3234.
Is 50321 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 50321?
50321 is the 5164th prime number.