The number 50021
50021 is a twin prime (50021 and 50023 are both prime) and the 5134th prime number. Its only divisors are 1 and 50021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50021: a twin prime (50021 and 50023 are both prime); the 5134th prime number.
- 2
50021 is prime, so its only factors are 1 and 50021. It is the 5134th prime; the next prime is 50023 and the one before is 49999.
- 3
The divisors add up to 50022; without 50021 itself that is 1, so 50021 is deficient (1 is less than 50021). Euler's totient φ(50021) = 50020 numbers up to 50021 share no factor with it.
- 4
The digits of 50021 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
50021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50022 |
| Euler totient φ(n) | 50020 |
| Square | 2502100441 |
| Cube | 125157566159261 |
| Square root | 223.653750 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0021 × |
50021 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and twenty-one |
| Binary (base 2) | 1100001101100101 |
| Octal (base 8) | 141545 |
| Hexadecimal (base 16) | C365 |
| Base 3 | 2112121122 |
| As time | 50021 seconds = 13 h 53 min 41 s |
Is 50021 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 6) | 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 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 4) | 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 50021 a prime number?
Yes. 50021 is divisible only by 1 and itself.
What are the factors of 50021?
1, 50021.
What is 50021 in binary?
1100001101100101 (hexadecimal C365, octal 141545).
What is the square root of 50021?
About 223.6538.
Is 50021 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 50021?
50021 is a twin prime (50021 and 50023 are both prime); the 5134th prime number.