The number 50087
50087 is the 5142nd prime number. Its only divisors are 1 and 50087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50087: the 5142nd prime number.
- 2
50087 is prime, so its only factors are 1 and 50087. It is the 5142nd prime; the next prime is 50093 and the one before is 50077.
- 3
The divisors add up to 50088; without 50087 itself that is 1, so 50087 is deficient (1 is less than 50087). Euler's totient φ(50087) = 50086 numbers up to 50087 share no factor with it.
- 4
The digits of 50087 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
50087 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50088 |
| Euler totient φ(n) | 50086 |
| Square | 2508707569 |
| Cube | 125653636008503 |
| Square root | 223.801251 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0087 × |
50087 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and eighty-seven |
| Binary (base 2) | 1100001110100111 |
| Octal (base 8) | 141647 |
| Hexadecimal (base 16) | C3A7 |
| Base 3 | 2112201002 |
| As time | 50087 seconds = 13 h 54 min 47 s |
Is 50087 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50087 a prime number?
Yes. 50087 is divisible only by 1 and itself.
What are the factors of 50087?
1, 50087.
What is 50087 in binary?
1100001110100111 (hexadecimal C3A7, octal 141647).
What is the square root of 50087?
About 223.8013.
Is 50087 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 50087?
50087 is the 5142nd prime number.