The number 47684
47684 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 131. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 131, 182, 262, 364, 524, 917 … 47684.
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How to work it out
- 1
47684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47684 is composite. Its prime factorisation is
- 3
The divisors add up to 103488; without 47684 itself that is 55804, so 47684 is abundant (55804 is more than 47684). Euler's totient φ(47684) = 18720 numbers up to 47684 share no factor with it.
- 4
The digits of 47684 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47684 = 2^{2} \times 7 \times 13 \times 131 \]47684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 103488 |
| Euler totient φ(n) | 18720 |
| Square | 2273763856 |
| Cube | 108422155709504 |
| Square root | 218.366664 (= 2√11921) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7684 × |
47684 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and eighty-four |
| Binary (base 2) | 1011101001000100 |
| Octal (base 8) | 135104 |
| Hexadecimal (base 16) | BA44 |
| Base 3 | 2102102002 |
| As time | 47684 seconds = 13 h 14 min 44 s |
Is 47684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47684 ÷ 2 = 23842) | 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 (47684 ÷ 4 = 11921) | 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 | Yes (47684 ÷ 7 = 6812) | 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 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47684 a prime number?
No. 47684 = × 7 × 13 × 131, so it is divisible by 2.
What are the factors of 47684?
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 131, 182, 262, 364, 524, 917, 1703, 1834, 3406, 3668, 6812, 11921, 23842, 47684.
What is 47684 in binary?
1011101001000100 (hexadecimal BA44, octal 135104).
What is the square root of 47684?
About 218.3667, exactly 2√11921.
Is 47684 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 47684?
It is a composite number with 24 divisors.