The number 3284
3284 is a composite number with 6 divisors. Its prime factorisation is × 821. Divisors (6): 1, 2, 4, 821, 1642, 3284.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3284 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3284 is composite. Its prime factorisation is
- 3
The divisors add up to 5754; without 3284 itself that is 2470, so 3284 is deficient (2470 is less than 3284). Euler's totient φ(3284) = 1640 numbers up to 3284 share no factor with it.
- 4
The digits of 3284 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3284 = 2^{2} \times 821 \]3284 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5754 |
| Euler totient φ(n) | 1640 |
| Square | 10784656 |
| Cube | 35416810304 |
| Square root | 57.306195 (= 2√821) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.284 × |
3284 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and eighty-four |
| Roman numerals | MMMCCLXXXIV |
| Binary (base 2) | 110011010100 |
| Octal (base 8) | 6324 |
| Hexadecimal (base 16) | CD4 |
| Base 3 | 11111122 |
| As time | 3284 seconds = 54 min 44 s |
Is 3284 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3284 ÷ 2 = 1642) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3284 ÷ 4 = 821) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3284 a prime number?
No. 3284 = × 821, so it is divisible by 2.
What are the factors of 3284?
1, 2, 4, 821, 1642, 3284.
What is 3284 in binary?
110011010100 (hexadecimal CD4, octal 6324).
What is the square root of 3284?
About 57.3062, exactly 2√821.
What is 3284 in Roman numerals?
MMMCCLXXXIV.
Is 3284 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3284?
It is a composite number with 6 divisors.