The number 50513
50513 is the 5181st prime number. Its only divisors are 1 and 50513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50513: the 5181st prime number.
- 2
50513 is prime, so its only factors are 1 and 50513. It is the 5181st prime; the next prime is 50527 and the one before is 50503.
- 3
The divisors add up to 50514; without 50513 itself that is 1, so 50513 is deficient (1 is less than 50513). Euler's totient φ(50513) = 50512 numbers up to 50513 share no factor with it.
- 4
The digits of 50513 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
50513 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50514 |
| Euler totient φ(n) | 50512 |
| Square | 2551563169 |
| Cube | 128887110355697 |
| Square root | 224.750973 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 158 |
| Scientific notation | 5.0513 × |
50513 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand five hundred and thirteen |
| Binary (base 2) | 1100010101010001 |
| Octal (base 8) | 142521 |
| Hexadecimal (base 16) | C551 |
| Base 3 | 2120021212 |
| As time | 50513 seconds = 14 h 1 min 53 s |
Is 50513 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 50513 a prime number?
Yes. 50513 is divisible only by 1 and itself.
What are the factors of 50513?
1, 50513.
What is 50513 in binary?
1100010101010001 (hexadecimal C551, octal 142521).
What is the square root of 50513?
About 224.7510.
Is 50513 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 50513?
50513 is the 5181st prime number.