The number 1087
1087 is the 181st prime number. Its only divisors are 1 and 1087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1087: the 181st prime number.
- 2
1087 is prime, so its only factors are 1 and 1087. It is the 181st prime; the next prime is 1091 and the one before is 1069.
- 3
The divisors add up to 1088; without 1087 itself that is 1, so 1087 is deficient (1 is less than 1087). Euler's totient φ(1087) = 1086 numbers up to 1087 share no factor with it.
- 4
The digits of 1087 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 137 steps to reach 1.
1087 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1088 |
| Euler totient φ(n) | 1086 |
| Square | 1181569 |
| Cube | 1284365503 |
| Square root | 32.969683 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 137 |
| Scientific notation | 1.087 × |
1087 in other forms
| Form | Value |
|---|---|
| In words | one thousand and eighty-seven |
| Roman numerals | MLXXXVII |
| Binary (base 2) | 10000111111 |
| Octal (base 8) | 2077 |
| Hexadecimal (base 16) | 43F |
| Base 3 | 1111021 |
| As time | 1087 seconds = 18 min 7 s |
Is 1087 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 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 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 9) | 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 1087 a prime number?
Yes. 1087 is divisible only by 1 and itself.
What are the factors of 1087?
1, 1087.
What is 1087 in binary?
10000111111 (hexadecimal 43F, octal 2077).
What is the square root of 1087?
About 32.9697.
What is 1087 in Roman numerals?
MLXXXVII.
Is 1087 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1087?
1087 is the 181st prime number.