The number 3087
3087 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3087 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3087 is composite. Its prime factorisation is
- 3
The divisors add up to 5200; without 3087 itself that is 2113, so 3087 is deficient (2113 is less than 3087). Euler's totient φ(3087) = 1764 numbers up to 3087 share no factor with it.
- 4
The digits of 3087 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 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3087 = 3^{2} \times 7^{3} \]3087 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5200 |
| Euler totient φ(n) | 1764 |
| Square | 9529569 |
| Cube | 29417779503 |
| Square root | 55.560778 (= 21√7) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 110 |
| Scientific notation | 3.087 × |
3087 in other forms
| Form | Value |
|---|---|
| In words | three thousand and eighty-seven |
| Roman numerals | MMMLXXXVII |
| Binary (base 2) | 110000001111 |
| Octal (base 8) | 6017 |
| Hexadecimal (base 16) | C0F |
| Base 3 | 11020100 |
| As time | 3087 seconds = 51 min 27 s |
Is 3087 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 (3087 ÷ 3 = 1029) | 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 | Yes (3087 ÷ 7 = 441) | 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 (3087 ÷ 9 = 343) | 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 7) | 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 3087 a prime number?
No. 3087 = × , so it is divisible by 3.
What are the factors of 3087?
1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087.
What is 3087 in binary?
110000001111 (hexadecimal C0F, octal 6017).
What is the square root of 3087?
About 55.5608, exactly 21√7.
What is 3087 in Roman numerals?
MMMLXXXVII.
Is 3087 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3087?
It is a composite number with 12 divisors.