The number 12087
12087 is a composite number with 12 divisors. Its prime factorisation is × 17 × 79. Divisors (12): 1, 3, 9, 17, 51, 79, 153, 237, 711, 1343, 4029, 12087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12087 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12087 is composite. Its prime factorisation is
- 3
The divisors add up to 18720; without 12087 itself that is 6633, so 12087 is deficient (6633 is less than 12087). Euler's totient φ(12087) = 7488 numbers up to 12087 share no factor with it.
- 4
The digits of 12087 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12087 = 3^{2} \times 17 \times 79 \]12087 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18720 |
| Euler totient φ(n) | 7488 |
| Square | 146095569 |
| Cube | 1765857142503 |
| Square root | 109.940893 (= 3√1343) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2087 × |
12087 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and eighty-seven |
| Binary (base 2) | 10111100110111 |
| Octal (base 8) | 27467 |
| Hexadecimal (base 16) | 2F37 |
| Base 3 | 121120200 |
| As time | 12087 seconds = 3 h 21 min 27 s |
Is 12087 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 | Yes (12087 ÷ 3 = 4029) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (12087 ÷ 9 = 1343) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12087 a prime number?
No. 12087 = × 17 × 79, so it is divisible by 3.
What are the factors of 12087?
1, 3, 9, 17, 51, 79, 153, 237, 711, 1343, 4029, 12087.
What is 12087 in binary?
10111100110111 (hexadecimal 2F37, octal 27467).
What is the square root of 12087?
About 109.9409, exactly 3√1343.
Is 12087 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12087?
It is a composite number with 12 divisors.