The number 10087
10087 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 131. Divisors (8): 1, 7, 11, 77, 131, 917, 1441, 10087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10087 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10087 is composite. Its prime factorisation is
- 3
The divisors add up to 12672; without 10087 itself that is 2585, so 10087 is deficient (2585 is less than 10087). Euler's totient φ(10087) = 7800 numbers up to 10087 share no factor with it.
- 4
The digits of 10087 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 223 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10087 = 7 \times 11 \times 131 \]
10087 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12672 |
| Euler totient φ(n) | 7800 |
| Square | 101747569 |
| Cube | 1026327728503 |
| Square root | 100.434058 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 223 |
| Scientific notation | 1.0087 × |
10087 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and eighty-seven |
| Binary (base 2) | 10011101100111 |
| Octal (base 8) | 23547 |
| Hexadecimal (base 16) | 2767 |
| Base 3 | 111211121 |
| As time | 10087 seconds = 2 h 48 min 7 s |
Is 10087 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 | Yes (10087 ÷ 7 = 1441) | 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 | Yes (10087 ÷ 11 = 917) | 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 10087 a prime number?
No. 10087 = 7 × 11 × 131, so it is divisible by 7.
What are the factors of 10087?
1, 7, 11, 77, 131, 917, 1441, 10087.
What is 10087 in binary?
10011101100111 (hexadecimal 2767, octal 23547).
What is the square root of 10087?
About 100.4341.
Is 10087 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10087?
It is a composite number with 8 divisors.