The number 50093
50093 is the 5143rd prime number. Its only divisors are 1 and 50093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50093: the 5143rd prime number.
- 2
50093 is prime, so its only factors are 1 and 50093. It is the 5143rd prime; the next prime is 50101 and the one before is 50087.
- 3
The divisors add up to 50094; without 50093 itself that is 1, so 50093 is deficient (1 is less than 50093). Euler's totient φ(50093) = 50092 numbers up to 50093 share no factor with it.
- 4
The digits of 50093 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
50093 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50094 |
| Euler totient φ(n) | 50092 |
| Square | 2509308649 |
| Cube | 125698798154357 |
| Square root | 223.814655 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.0093 × |
50093 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and ninety-three |
| Binary (base 2) | 1100001110101101 |
| Octal (base 8) | 141655 |
| Hexadecimal (base 16) | C3AD |
| Base 3 | 2112201022 |
| As time | 50093 seconds = 13 h 54 min 53 s |
Is 50093 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 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 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 50093 a prime number?
Yes. 50093 is divisible only by 1 and itself.
What are the factors of 50093?
1, 50093.
What is 50093 in binary?
1100001110101101 (hexadecimal C3AD, octal 141655).
What is the square root of 50093?
About 223.8147.
Is 50093 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 50093?
50093 is the 5143rd prime number.