The number 3684
3684 is a composite number with 12 divisors. Its prime factorisation is × 3 × 307. Divisors (12): 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3684 is composite. Its prime factorisation is
- 3
The divisors add up to 8624; without 3684 itself that is 4940, so 3684 is abundant (4940 is more than 3684). Euler's totient φ(3684) = 1224 numbers up to 3684 share no factor with it.
- 4
The digits of 3684 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3684 = 2^{2} \times 3 \times 307 \]3684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8624 |
| Euler totient φ(n) | 1224 |
| Square | 13571856 |
| Cube | 49998717504 |
| Square root | 60.695964 (= 2√921) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.684 × |
3684 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and eighty-four |
| Roman numerals | MMMDCLXXXIV |
| Binary (base 2) | 111001100100 |
| Octal (base 8) | 7144 |
| Hexadecimal (base 16) | E64 |
| Base 3 | 12001110 |
| As time | 3684 seconds = 1 h 1 min 24 s |
Is 3684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3684 ÷ 2 = 1842) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3684 ÷ 3 = 1228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3684 ÷ 4 = 921) | 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 (3684 ÷ 6 = 614) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3684 ÷ 12 = 307) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3684 a prime number?
No. 3684 = × 3 × 307, so it is divisible by 2.
What are the factors of 3684?
1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684.
What is 3684 in binary?
111001100100 (hexadecimal E64, octal 7144).
What is the square root of 3684?
About 60.6960, exactly 2√921.
What is 3684 in Roman numerals?
MMMDCLXXXIV.
Is 3684 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3684?
It is a composite number with 12 divisors.