The number 10987
10987 is the 1334th prime number. Its only divisors are 1 and 10987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10987: the 1334th prime number.
- 2
10987 is prime, so its only factors are 1 and 10987. It is the 1334th prime; the next prime is 10993 and the one before is 10979.
- 3
The divisors add up to 10988; without 10987 itself that is 1, so 10987 is deficient (1 is less than 10987). Euler's totient φ(10987) = 10986 numbers up to 10987 share no factor with it.
- 4
The digits of 10987 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
10987 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10988 |
| Euler totient φ(n) | 10986 |
| Square | 120714169 |
| Cube | 1326286574803 |
| Square root | 104.818891 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.0987 × |
10987 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and eighty-seven |
| Binary (base 2) | 10101011101011 |
| Octal (base 8) | 25353 |
| Hexadecimal (base 16) | 2AEB |
| Base 3 | 120001221 |
| As time | 10987 seconds = 3 h 3 min 7 s |
Is 10987 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 4) | 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 3) | 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 10987 a prime number?
Yes. 10987 is divisible only by 1 and itself.
What are the factors of 10987?
1, 10987.
What is 10987 in binary?
10101011101011 (hexadecimal 2AEB, octal 25353).
What is the square root of 10987?
About 104.8189.
Is 10987 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 10987?
10987 is the 1334th prime number.