The number 47804
47804 is a composite number with 24 divisors. Its prime factorisation is × 17 × 19 × 37. Divisors (24): 1, 2, 4, 17, 19, 34, 37, 38, 68, 74, 76, 148, 323, 629, 646, 703 … 47804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47804 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 47804 itself that is 47956, so 47804 is abundant (47956 is more than 47804). Euler's totient φ(47804) = 20736 numbers up to 47804 share no factor with it.
- 4
The digits of 47804 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47804 = 2^{2} \times 17 \times 19 \times 37 \]47804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 20736 |
| Square | 2285222416 |
| Cube | 109242772374464 |
| Square root | 218.641259 (= 2√11951) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7804 × |
47804 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and four |
| Binary (base 2) | 1011101010111100 |
| Octal (base 8) | 135274 |
| Hexadecimal (base 16) | BABC |
| Base 3 | 2102120112 |
| As time | 47804 seconds = 13 h 16 min 44 s |
Is 47804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47804 ÷ 2 = 23902) | 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 (47804 ÷ 4 = 11951) | 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 1) | 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 9) | 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 47804 a prime number?
No. 47804 = × 17 × 19 × 37, so it is divisible by 2.
What are the factors of 47804?
1, 2, 4, 17, 19, 34, 37, 38, 68, 74, 76, 148, 323, 629, 646, 703, 1258, 1292, 1406, 2516, 2812, 11951, 23902, 47804.
What is 47804 in binary?
1011101010111100 (hexadecimal BABC, octal 135274).
What is the square root of 47804?
About 218.6413, exactly 2√11951.
Is 47804 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47804?
It is a composite number with 24 divisors.