The number 50047
50047 is the 5137th prime number. Its only divisors are 1 and 50047.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50047: the 5137th prime number.
- 2
50047 is prime, so its only factors are 1 and 50047. It is the 5137th prime; the next prime is 50051 and the one before is 50033.
- 3
The divisors add up to 50048; without 50047 itself that is 1, so 50047 is deficient (1 is less than 50047). Euler's totient φ(50047) = 50046 numbers up to 50047 share no factor with it.
- 4
The digits of 50047 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
50047 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50048 |
| Euler totient φ(n) | 50046 |
| Square | 2504702209 |
| Cube | 125352831453823 |
| Square root | 223.711868 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 88 |
| Scientific notation | 5.0047 × |
50047 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and forty-seven |
| Binary (base 2) | 1100001101111111 |
| Octal (base 8) | 141577 |
| Hexadecimal (base 16) | C37F |
| Base 3 | 2112122121 |
| As time | 50047 seconds = 13 h 54 min 7 s |
Is 50047 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 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50047 a prime number?
Yes. 50047 is divisible only by 1 and itself.
What are the factors of 50047?
1, 50047.
What is 50047 in binary?
1100001101111111 (hexadecimal C37F, octal 141577).
What is the square root of 50047?
About 223.7119.
Is 50047 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 50047?
50047 is the 5137th prime number.