The number 50221
50221 is the 5155th prime number. Its only divisors are 1 and 50221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50221: the 5155th prime number.
- 2
50221 is prime, so its only factors are 1 and 50221. It is the 5155th prime; the next prime is 50227 and the one before is 50207.
- 3
The divisors add up to 50222; without 50221 itself that is 1, so 50221 is deficient (1 is less than 50221). Euler's totient φ(50221) = 50220 numbers up to 50221 share no factor with it.
- 4
The digits of 50221 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 109 steps to reach 1.
50221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50222 |
| Euler totient φ(n) | 50220 |
| Square | 2522148841 |
| Cube | 126664836943861 |
| Square root | 224.100424 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.0221 × |
50221 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand two hundred and twenty-one |
| Binary (base 2) | 1100010000101101 |
| Octal (base 8) | 142055 |
| Hexadecimal (base 16) | C42D |
| Base 3 | 2112220001 |
| As time | 50221 seconds = 13 h 57 min 1 s |
Is 50221 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 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 1) | 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 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50221 a prime number?
Yes. 50221 is divisible only by 1 and itself.
What are the factors of 50221?
1, 50221.
What is 50221 in binary?
1100010000101101 (hexadecimal C42D, octal 142055).
What is the square root of 50221?
About 224.1004.
Is 50221 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 50221?
50221 is the 5155th prime number.