The number 5087
5087 is the 680th prime number. Its only divisors are 1 and 5087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5087: the 680th prime number.
- 2
5087 is prime, so its only factors are 1 and 5087. It is the 680th prime; the next prime is 5099 and the one before is 5081.
- 3
The divisors add up to 5088; without 5087 itself that is 1, so 5087 is deficient (1 is less than 5087). Euler's totient φ(5087) = 5086 numbers up to 5087 share no factor with it.
- 4
The digits of 5087 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 178 steps to reach 1.
5087 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5088 |
| Euler totient φ(n) | 5086 |
| Square | 25877569 |
| Cube | 131639193503 |
| Square root | 71.323208 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 178 |
| Scientific notation | 5.087 × |
5087 in other forms
| Form | Value |
|---|---|
| In words | five thousand and eighty-seven |
| Binary (base 2) | 1001111011111 |
| Octal (base 8) | 11737 |
| Hexadecimal (base 16) | 13DF |
| Base 3 | 20222102 |
| As time | 5087 seconds = 1 h 24 min 47 s |
Is 5087 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 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 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 5) | 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 5087 a prime number?
Yes. 5087 is divisible only by 1 and itself.
What are the factors of 5087?
1, 5087.
What is 5087 in binary?
1001111011111 (hexadecimal 13DF, octal 11737).
What is the square root of 5087?
About 71.3232.
Is 5087 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5087?
5087 is the 680th prime number.