The number 2804
2804 is a composite number with 6 divisors. Its prime factorisation is × 701. Divisors (6): 1, 2, 4, 701, 1402, 2804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2804 is composite. Its prime factorisation is
- 3
The divisors add up to 4914; without 2804 itself that is 2110, so 2804 is deficient (2110 is less than 2804). Euler's totient φ(2804) = 1400 numbers up to 2804 share no factor with it.
- 4
The digits of 2804 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2804 = 2^{2} \times 701 \]2804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4914 |
| Euler totient φ(n) | 1400 |
| Square | 7862416 |
| Cube | 22046214464 |
| Square root | 52.952809 (= 2√701) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 84 |
| Scientific notation | 2.804 × |
2804 in other forms
| Form | Value |
|---|---|
| In words | two thousand eight hundred and four |
| Roman numerals | MMDCCCIV |
| Binary (base 2) | 101011110100 |
| Octal (base 8) | 5364 |
| Hexadecimal (base 16) | AF4 |
| Base 3 | 10211212 |
| As time | 2804 seconds = 46 min 44 s |
Is 2804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2804 ÷ 2 = 1402) | 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 (2804 ÷ 4 = 701) | 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 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 5) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2804 a prime number?
No. 2804 = × 701, so it is divisible by 2.
What are the factors of 2804?
1, 2, 4, 701, 1402, 2804.
What is 2804 in binary?
101011110100 (hexadecimal AF4, octal 5364).
What is the square root of 2804?
About 52.9528, exactly 2√701.
What is 2804 in Roman numerals?
MMDCCCIV.
Is 2804 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2804?
It is a composite number with 6 divisors.