The number 4804
4804 is a composite number with 6 divisors. Its prime factorisation is × 1201. Divisors (6): 1, 2, 4, 1201, 2402, 4804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4804 is composite. Its prime factorisation is
- 3
The divisors add up to 8414; without 4804 itself that is 3610, so 4804 is deficient (3610 is less than 4804). Euler's totient φ(4804) = 2400 numbers up to 4804 share no factor with it.
- 4
The digits of 4804 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4804 = 2^{2} \times 1201 \]4804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 8414 |
| Euler totient φ(n) | 2400 |
| Square | 23078416 |
| Cube | 110868710464 |
| Square root | 69.310894 (= 2√1201) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.804 × |
4804 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and four |
| Binary (base 2) | 1001011000100 |
| Octal (base 8) | 11304 |
| Hexadecimal (base 16) | 12C4 |
| Base 3 | 20120221 |
| As time | 4804 seconds = 1 h 20 min 4 s |
Is 4804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4804 ÷ 2 = 2402) | 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 (4804 ÷ 4 = 1201) | 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 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 7) | 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 8) | 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 4804 a prime number?
No. 4804 = × 1201, so it is divisible by 2.
What are the factors of 4804?
1, 2, 4, 1201, 2402, 4804.
What is 4804 in binary?
1001011000100 (hexadecimal 12C4, octal 11304).
What is the square root of 4804?
About 69.3109, exactly 2√1201.
Is 4804 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4804?
It is a composite number with 6 divisors.