The number 1084
1084 is a composite number with 6 divisors. Its prime factorisation is × 271. Divisors (6): 1, 2, 4, 271, 542, 1084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1084 is composite. Its prime factorisation is
- 3
The divisors add up to 1904; without 1084 itself that is 820, so 1084 is deficient (820 is less than 1084). Euler's totient φ(1084) = 540 numbers up to 1084 share no factor with it.
- 4
The digits of 1084 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1084 = 2^{2} \times 271 \]1084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1904 |
| Euler totient φ(n) | 540 |
| Square | 1175056 |
| Cube | 1273760704 |
| Square root | 32.924155 (= 2√271) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 1.084 × |
1084 in other forms
| Form | Value |
|---|---|
| In words | one thousand and eighty-four |
| Roman numerals | MLXXXIV |
| Binary (base 2) | 10000111100 |
| Octal (base 8) | 2074 |
| Hexadecimal (base 16) | 43C |
| Base 3 | 1111011 |
| As time | 1084 seconds = 18 min 4 s |
Is 1084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1084 ÷ 2 = 542) | 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 | Yes (1084 ÷ 4 = 271) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1084 a prime number?
No. 1084 = × 271, so it is divisible by 2.
What are the factors of 1084?
1, 2, 4, 271, 542, 1084.
What is 1084 in binary?
10000111100 (hexadecimal 43C, octal 2074).
What is the square root of 1084?
About 32.9242, exactly 2√271.
What is 1084 in Roman numerals?
MLXXXIV.
Is 1084 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1084?
It is a composite number with 6 divisors.