The number 1804
1804 is a composite number with 12 divisors. Its prime factorisation is × 11 × 41. Divisors (12): 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1804 is composite. Its prime factorisation is
- 3
The divisors add up to 3528; without 1804 itself that is 1724, so 1804 is deficient (1724 is less than 1804). Euler's totient φ(1804) = 800 numbers up to 1804 share no factor with it.
- 4
The digits of 1804 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1804 = 2^{2} \times 11 \times 41 \]1804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3528 |
| Euler totient φ(n) | 800 |
| Square | 3254416 |
| Cube | 5870966464 |
| Square root | 42.473521 (= 2√451) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.804 × |
1804 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and four |
| Roman numerals | MDCCCIV |
| Binary (base 2) | 11100001100 |
| Octal (base 8) | 3414 |
| Hexadecimal (base 16) | 70C |
| Base 3 | 2110211 |
| As time | 1804 seconds = 30 min 4 s |
Is 1804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1804 ÷ 2 = 902) | 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 (1804 ÷ 4 = 451) | 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 5) | 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 | Yes (1804 ÷ 11 = 164) | 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 1804 a prime number?
No. 1804 = × 11 × 41, so it is divisible by 2.
What are the factors of 1804?
1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804.
What is 1804 in binary?
11100001100 (hexadecimal 70C, octal 3414).
What is the square root of 1804?
About 42.4735, exactly 2√451.
What is 1804 in Roman numerals?
MDCCCIV.
Is 1804 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1804?
It is a composite number with 12 divisors.