The number 9887
9887 is the 1220th prime number. Its only divisors are 1 and 9887.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9887: the 1220th prime number.
- 2
9887 is prime, so its only factors are 1 and 9887. It is the 1220th prime; the next prime is 9901 and the one before is 9883.
- 3
The divisors add up to 9888; without 9887 itself that is 1, so 9887 is deficient (1 is less than 9887). Euler's totient φ(9887) = 9886 numbers up to 9887 share no factor with it.
- 4
The digits of 9887 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 241 steps to reach 1.
9887 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9888 |
| Euler totient φ(n) | 9886 |
| Square | 97752769 |
| Cube | 966481627103 |
| Square root | 99.433395 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 241 |
| Scientific notation | 9.887 × |
9887 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and eighty-seven |
| Binary (base 2) | 10011010011111 |
| Octal (base 8) | 23237 |
| Hexadecimal (base 16) | 269F |
| Base 3 | 111120012 |
| As time | 9887 seconds = 2 h 44 min 47 s |
Is 9887 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 3) | 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 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9887 a prime number?
Yes. 9887 is divisible only by 1 and itself.
What are the factors of 9887?
1, 9887.
What is 9887 in binary?
10011010011111 (hexadecimal 269F, octal 23237).
What is the square root of 9887?
About 99.4334.
Is 9887 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 9887?
9887 is the 1220th prime number.