The number 1086
1086 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 181. Divisors (8): 1, 2, 3, 6, 181, 362, 543, 1086.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1086 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1086 is composite. Its prime factorisation is
- 3
The divisors add up to 2184; without 1086 itself that is 1098, so 1086 is abundant (1098 is more than 1086). Euler's totient φ(1086) = 360 numbers up to 1086 share no factor with it.
- 4
The digits of 1086 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1086 = 2 \times 3 \times 181 \]
1086 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2184 |
| Euler totient φ(n) | 360 |
| Square | 1179396 |
| Cube | 1280824056 |
| Square root | 32.954514 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 137 |
| Scientific notation | 1.086 × |
1086 in other forms
| Form | Value |
|---|---|
| In words | one thousand and eighty-six |
| Roman numerals | MLXXXVI |
| Binary (base 2) | 10000111110 |
| Octal (base 8) | 2076 |
| Hexadecimal (base 16) | 43E |
| Base 3 | 1111020 |
| As time | 1086 seconds = 18 min 6 s |
Is 1086 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1086 ÷ 2 = 543) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1086 ÷ 3 = 362) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1086 ÷ 6 = 181) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1086 a prime number?
No. 1086 = 2 × 3 × 181, so it is divisible by 2.
What are the factors of 1086?
1, 2, 3, 6, 181, 362, 543, 1086.
What is 1086 in binary?
10000111110 (hexadecimal 43E, octal 2076).
What is the square root of 1086?
About 32.9545.
What is 1086 in Roman numerals?
MLXXXVI.
Is 1086 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1086?
It is a composite number with 8 divisors.