The number 2087
2087 is a twin prime (2087 and 2089 are both prime) and the 315th prime number. Its only divisors are 1 and 2087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2087: a twin prime (2087 and 2089 are both prime); the 315th prime number.
- 2
2087 is prime, so its only factors are 1 and 2087. It is the 315th prime; the next prime is 2089 and the one before is 2083.
- 3
The divisors add up to 2088; without 2087 itself that is 1, so 2087 is deficient (1 is less than 2087). Euler's totient φ(2087) = 2086 numbers up to 2087 share no factor with it.
- 4
The digits of 2087 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
2087 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2088 |
| Euler totient φ(n) | 2086 |
| Square | 4355569 |
| Cube | 9090072503 |
| Square root | 45.683695 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 2.087 × |
2087 in other forms
| Form | Value |
|---|---|
| In words | two thousand and eighty-seven |
| Roman numerals | MMLXXXVII |
| Binary (base 2) | 100000100111 |
| Octal (base 8) | 4047 |
| Hexadecimal (base 16) | 827 |
| Base 3 | 2212022 |
| As time | 2087 seconds = 34 min 47 s |
Is 2087 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2087 a prime number?
Yes. 2087 is divisible only by 1 and itself.
What are the factors of 2087?
1, 2087.
What is 2087 in binary?
100000100111 (hexadecimal 827, octal 4047).
What is the square root of 2087?
About 45.6837.
What is 2087 in Roman numerals?
MMLXXXVII.
Is 2087 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 2087?
2087 is a twin prime (2087 and 2089 are both prime); the 315th prime number.