The number 3804
3804 is a composite number with 12 divisors. Its prime factorisation is × 3 × 317. Divisors (12): 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3804 is composite. Its prime factorisation is
- 3
The divisors add up to 8904; without 3804 itself that is 5100, so 3804 is abundant (5100 is more than 3804). Euler's totient φ(3804) = 1264 numbers up to 3804 share no factor with it.
- 4
The digits of 3804 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 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3804 = 2^{2} \times 3 \times 317 \]3804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8904 |
| Euler totient φ(n) | 1264 |
| Square | 14470416 |
| Cube | 55045462464 |
| Square root | 61.676576 (= 2√951) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.804 × |
3804 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and four |
| Roman numerals | MMMDCCCIV |
| Binary (base 2) | 111011011100 |
| Octal (base 8) | 7334 |
| Hexadecimal (base 16) | EDC |
| Base 3 | 12012220 |
| As time | 3804 seconds = 1 h 3 min 24 s |
Is 3804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3804 ÷ 2 = 1902) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3804 ÷ 3 = 1268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3804 ÷ 4 = 951) | 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 (3804 ÷ 6 = 634) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3804 ÷ 12 = 317) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3804 a prime number?
No. 3804 = × 3 × 317, so it is divisible by 2.
What are the factors of 3804?
1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804.
What is 3804 in binary?
111011011100 (hexadecimal EDC, octal 7334).
What is the square root of 3804?
About 61.6766, exactly 2√951.
What is 3804 in Roman numerals?
MMMDCCCIV.
Is 3804 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3804?
It is a composite number with 12 divisors.