The number 43681
43681 is a perfect square (209²). Its prime factorisation is × . Divisors (9): 1, 11, 19, 121, 209, 361, 2299, 3971, 43681.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43681: a perfect square (209²).
- 2
43681 is composite. Its prime factorisation is
- 3
The divisors add up to 50673; without 43681 itself that is 6992, so 43681 is deficient (6992 is less than 43681). Euler's totient φ(43681) = 37620 numbers up to 43681 share no factor with it.
- 4
The digits of 43681 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43681 = 11^{2} \times 19^{2} \]43681 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 50673 |
| Euler totient φ(n) | 37620 |
| Square | 1908029761 |
| Cube | 83344647990241 |
| Square root | 209 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3681 × |
| Perfect power |
43681 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand six hundred and eighty-one |
| Binary (base 2) | 1010101010100001 |
| Octal (base 8) | 125241 |
| Hexadecimal (base 16) | AAA1 |
| Base 3 | 2012220211 |
| As time | 43681 seconds = 12 h 8 min 1 s |
Is 43681 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (43681 ÷ 11 = 3971) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43681 a prime number?
No. 43681 = × , so it is divisible by 11.
What are the factors of 43681?
1, 11, 19, 121, 209, 361, 2299, 3971, 43681.
What is 43681 in binary?
1010101010100001 (hexadecimal AAA1, octal 125241).
What is the square root of 43681?
209, because 209 × 209 = 43681.
Is 43681 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 43681?
43681 is a perfect square (209²).