The number 50993
50993 is the 5222nd prime number. Its only divisors are 1 and 50993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50993: the 5222nd prime number.
- 2
50993 is prime, so its only factors are 1 and 50993. It is the 5222nd prime; the next prime is 51001 and the one before is 50989.
- 3
The divisors add up to 50994; without 50993 itself that is 1, so 50993 is deficient (1 is less than 50993). Euler's totient φ(50993) = 50992 numbers up to 50993 share no factor with it.
- 4
The digits of 50993 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
50993 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50994 |
| Euler totient φ(n) | 50992 |
| Square | 2600286049 |
| Cube | 132596386496657 |
| Square root | 225.816297 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0993 × |
50993 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and ninety-three |
| Binary (base 2) | 1100011100110001 |
| Octal (base 8) | 143461 |
| Hexadecimal (base 16) | C731 |
| Base 3 | 2120221122 |
| As time | 50993 seconds = 14 h 9 min 53 s |
Is 50993 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 5) | 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 1) | 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 8) | 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 50993 a prime number?
Yes. 50993 is divisible only by 1 and itself.
What are the factors of 50993?
1, 50993.
What is 50993 in binary?
1100011100110001 (hexadecimal C731, octal 143461).
What is the square root of 50993?
About 225.8163.
Is 50993 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 50993?
50993 is the 5222nd prime number.