The number 47584
47584 is a composite number with 12 divisors. Its prime factorisation is × 1487. Divisors (12): 1, 2, 4, 8, 16, 32, 1487, 2974, 5948, 11896, 23792, 47584.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47584 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47584 is composite. Its prime factorisation is
- 3
The divisors add up to 93744; without 47584 itself that is 46160, so 47584 is deficient (46160 is less than 47584). Euler's totient φ(47584) = 23776 numbers up to 47584 share no factor with it.
- 4
The digits of 47584 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47584 = 2^{5} \times 1487 \]47584 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93744 |
| Euler totient φ(n) | 23776 |
| Square | 2264237056 |
| Cube | 107741456072704 |
| Square root | 218.137571 (= 4√2974) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7584 × |
47584 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and eighty-four |
| Binary (base 2) | 1011100111100000 |
| Octal (base 8) | 134740 |
| Hexadecimal (base 16) | B9E0 |
| Base 3 | 2102021101 |
| As time | 47584 seconds = 13 h 13 min 4 s |
Is 47584 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47584 ÷ 2 = 23792) | 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 (47584 ÷ 4 = 11896) | 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 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 (47584 ÷ 8 = 5948) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47584 a prime number?
No. 47584 = × 1487, so it is divisible by 2.
What are the factors of 47584?
1, 2, 4, 8, 16, 32, 1487, 2974, 5948, 11896, 23792, 47584.
What is 47584 in binary?
1011100111100000 (hexadecimal B9E0, octal 134740).
What is the square root of 47584?
About 218.1376, exactly 4√2974.
Is 47584 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 47584?
It is a composite number with 12 divisors.