The number 50123
50123 is the 5147th prime number. Its only divisors are 1 and 50123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50123: the 5147th prime number.
- 2
50123 is prime, so its only factors are 1 and 50123. It is the 5147th prime; the next prime is 50129 and the one before is 50119.
- 3
The divisors add up to 50124; without 50123 itself that is 1, so 50123 is deficient (1 is less than 50123). Euler's totient φ(50123) = 50122 numbers up to 50123 share no factor with it.
- 4
The digits of 50123 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 114 steps to reach 1.
50123 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50124 |
| Euler totient φ(n) | 50122 |
| Square | 2512315129 |
| Cube | 125924771210867 |
| Square root | 223.881665 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 114 |
| Scientific notation | 5.0123 × |
50123 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and twenty-three |
| Binary (base 2) | 1100001111001011 |
| Octal (base 8) | 141713 |
| Hexadecimal (base 16) | C3CB |
| Base 3 | 2112202102 |
| As time | 50123 seconds = 13 h 55 min 23 s |
Is 50123 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 3) | 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 2) | 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 7) | 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 50123 a prime number?
Yes. 50123 is divisible only by 1 and itself.
What are the factors of 50123?
1, 50123.
What is 50123 in binary?
1100001111001011 (hexadecimal C3CB, octal 141713).
What is the square root of 50123?
About 223.8817.
Is 50123 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 50123?
50123 is the 5147th prime number.