The number 47904
47904 is a composite number with 24 divisors. Its prime factorisation is × 3 × 499. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 499, 998, 1497, 1996 … 47904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47904: a Harshad number: divisible by its digit sum 24.
- 2
47904 is composite. Its prime factorisation is
- 3
The divisors add up to 126000; without 47904 itself that is 78096, so 47904 is abundant (78096 is more than 47904). Euler's totient φ(47904) = 15936 numbers up to 47904 share no factor with it.
- 4
The digits of 47904 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47904 = 2^{5} \times 3 \times 499 \]47904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 126000 |
| Euler totient φ(n) | 15936 |
| Square | 2294793216 |
| Cube | 109929774219264 |
| Square root | 218.869824 (= 4√2994) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7904 × |
47904 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and four |
| Binary (base 2) | 1011101100100000 |
| Octal (base 8) | 135440 |
| Hexadecimal (base 16) | BB20 |
| Base 3 | 2102201020 |
| As time | 47904 seconds = 13 h 18 min 24 s |
Is 47904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47904 ÷ 2 = 23952) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47904 ÷ 3 = 15968) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47904 ÷ 4 = 11976) | 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 (47904 ÷ 6 = 7984) | 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 | Yes (47904 ÷ 8 = 5988) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47904 ÷ 12 = 3992) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47904 a prime number?
No. 47904 = × 3 × 499, so it is divisible by 2.
What are the factors of 47904?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 499, 998, 1497, 1996, 2994, 3992, 5988, 7984, 11976, 15968, 23952, 47904.
What is 47904 in binary?
1011101100100000 (hexadecimal BB20, octal 135440).
What is the square root of 47904?
About 218.8698, exactly 4√2994.
Is 47904 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47904?
47904 is a Harshad number: divisible by its digit sum 24.