The number 50033
50033 is the 5136th prime number. Its only divisors are 1 and 50033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50033: the 5136th prime number.
- 2
50033 is prime, so its only factors are 1 and 50033. It is the 5136th prime; the next prime is 50047 and the one before is 50023.
- 3
The divisors add up to 50034; without 50033 itself that is 1, so 50033 is deficient (1 is less than 50033). Euler's totient φ(50033) = 50032 numbers up to 50033 share no factor with it.
- 4
The digits of 50033 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 158 steps to reach 1.
50033 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50034 |
| Euler totient φ(n) | 50032 |
| Square | 2503301089 |
| Cube | 125247663385937 |
| Square root | 223.680576 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0033 × |
50033 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and thirty-three |
| Binary (base 2) | 1100001101110001 |
| Octal (base 8) | 141561 |
| Hexadecimal (base 16) | C371 |
| Base 3 | 2112122002 |
| As time | 50033 seconds = 13 h 53 min 53 s |
Is 50033 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 4) | 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 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 5) | 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 50033 a prime number?
Yes. 50033 is divisible only by 1 and itself.
What are the factors of 50033?
1, 50033.
What is 50033 in binary?
1100001101110001 (hexadecimal C371, octal 141561).
What is the square root of 50033?
About 223.6806.
Is 50033 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 50033?
50033 is the 5136th prime number.