The number 50023
50023 is a twin prime (50021 and 50023 are both prime) and the 5135th prime number. Its only divisors are 1 and 50023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50023: a twin prime (50021 and 50023 are both prime); the 5135th prime number.
- 2
50023 is prime, so its only factors are 1 and 50023. It is the 5135th prime; the next prime is 50033 and the one before is 50021.
- 3
The divisors add up to 50024; without 50023 itself that is 1, so 50023 is deficient (1 is less than 50023). Euler's totient φ(50023) = 50022 numbers up to 50023 share no factor with it.
- 4
The digits of 50023 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 88 steps to reach 1.
50023 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50024 |
| Euler totient φ(n) | 50022 |
| Square | 2502300529 |
| Cube | 125172579362167 |
| Square root | 223.658221 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 5.0023 × |
50023 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and twenty-three |
| Binary (base 2) | 1100001101100111 |
| Octal (base 8) | 141547 |
| Hexadecimal (base 16) | C367 |
| Base 3 | 2112121201 |
| As time | 50023 seconds = 13 h 53 min 43 s |
Is 50023 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 3) | 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 1) | 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 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50023 a prime number?
Yes. 50023 is divisible only by 1 and itself.
What are the factors of 50023?
1, 50023.
What is 50023 in binary?
1100001101100111 (hexadecimal C367, octal 141547).
What is the square root of 50023?
About 223.6582.
Is 50023 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 50023?
50023 is a twin prime (50021 and 50023 are both prime); the 5135th prime number.