The number 3084
3084 is a composite number with 12 divisors. Its prime factorisation is × 3 × 257. Divisors (12): 1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3084 is composite. Its prime factorisation is
- 3
The divisors add up to 7224; without 3084 itself that is 4140, so 3084 is abundant (4140 is more than 3084). Euler's totient φ(3084) = 1024 numbers up to 3084 share no factor with it.
- 4
The digits of 3084 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 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3084 = 2^{2} \times 3 \times 257 \]3084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7224 |
| Euler totient φ(n) | 1024 |
| Square | 9511056 |
| Cube | 29332096704 |
| Square root | 55.533774 (= 2√771) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.084 × |
3084 in other forms
| Form | Value |
|---|---|
| In words | three thousand and eighty-four |
| Roman numerals | MMMLXXXIV |
| Binary (base 2) | 110000001100 |
| Octal (base 8) | 6014 |
| Hexadecimal (base 16) | C0C |
| Base 3 | 11020020 |
| As time | 3084 seconds = 51 min 24 s |
Is 3084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3084 ÷ 2 = 1542) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3084 ÷ 3 = 1028) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3084 ÷ 4 = 771) | 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 | Yes (3084 ÷ 6 = 514) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3084 ÷ 12 = 257) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3084 a prime number?
No. 3084 = × 3 × 257, so it is divisible by 2.
What are the factors of 3084?
1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084.
What is 3084 in binary?
110000001100 (hexadecimal C0C, octal 6014).
What is the square root of 3084?
About 55.5338, exactly 2√771.
What is 3084 in Roman numerals?
MMMLXXXIV.
Is 3084 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3084?
It is a composite number with 12 divisors.