The number 47304
47304 is a composite number with 40 divisors. Its prime factorisation is × × 73. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 73, 81 … 47304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47304: a Harshad number: divisible by its digit sum 18.
- 2
47304 is composite. Its prime factorisation is
- 3
The divisors add up to 134310; without 47304 itself that is 87006, so 47304 is abundant (87006 is more than 47304). Euler's totient φ(47304) = 15552 numbers up to 47304 share no factor with it.
- 4
The digits of 47304 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47304 = 2^{3} \times 3^{4} \times 73 \]47304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 134310 |
| Euler totient φ(n) | 15552 |
| Square | 2237668416 |
| Cube | 105850666750464 |
| Square root | 217.494828 (= 18√146) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7304 × |
47304 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and four |
| Binary (base 2) | 1011100011001000 |
| Octal (base 8) | 134310 |
| Hexadecimal (base 16) | B8C8 |
| Base 3 | 2101220000 |
| As time | 47304 seconds = 13 h 8 min 24 s |
Is 47304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47304 ÷ 2 = 23652) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47304 ÷ 3 = 15768) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47304 ÷ 4 = 11826) | 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 (47304 ÷ 6 = 7884) | 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 | Yes (47304 ÷ 8 = 5913) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47304 ÷ 9 = 5256) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47304 ÷ 12 = 3942) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47304 a prime number?
No. 47304 = × × 73, so it is divisible by 2.
What are the factors of 47304?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 73, 81, 108, 146, 162, 216, 219, 292, 324, 438, 584, 648, 657, 876, 1314, 1752, 1971, 2628, 3942, 5256, 5913, 7884, 11826, 15768, 23652, 47304.
What is 47304 in binary?
1011100011001000 (hexadecimal B8C8, octal 134310).
What is the square root of 47304?
About 217.4948, exactly 18√146.
Is 47304 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47304?
47304 is a Harshad number: divisible by its digit sum 18.