The number 43684
43684 is a composite number with 12 divisors. Its prime factorisation is × 67 × 163. Divisors (12): 1, 2, 4, 67, 134, 163, 268, 326, 652, 10921, 21842, 43684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43684 is composite. Its prime factorisation is
- 3
The divisors add up to 78064; without 43684 itself that is 34380, so 43684 is deficient (34380 is less than 43684). Euler's totient φ(43684) = 21384 numbers up to 43684 share no factor with it.
- 4
The digits of 43684 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43684 = 2^{2} \times 67 \times 163 \]43684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78064 |
| Euler totient φ(n) | 21384 |
| Square | 1908291856 |
| Cube | 83361821437504 |
| Square root | 209.007177 (= 2√10921) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3684 × |
43684 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand six hundred and eighty-four |
| Binary (base 2) | 1010101010100100 |
| Octal (base 8) | 125244 |
| Hexadecimal (base 16) | AAA4 |
| Base 3 | 2012220221 |
| As time | 43684 seconds = 12 h 8 min 4 s |
Is 43684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43684 ÷ 2 = 21842) | 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 (43684 ÷ 4 = 10921) | 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 4) | 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 7) | 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 3) | 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 43684 a prime number?
No. 43684 = × 67 × 163, so it is divisible by 2.
What are the factors of 43684?
1, 2, 4, 67, 134, 163, 268, 326, 652, 10921, 21842, 43684.
What is 43684 in binary?
1010101010100100 (hexadecimal AAA4, octal 125244).
What is the square root of 43684?
About 209.0072, exactly 2√10921.
Is 43684 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 43684?
It is a composite number with 12 divisors.