The number 43824
43824 is a composite number with 40 divisors. Its prime factorisation is × 3 × 11 × 83. Divisors (40): 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 83 … 43824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43824: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43824 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 43824 itself that is 81168, so 43824 is abundant (81168 is more than 43824). Euler's totient φ(43824) = 13120 numbers up to 43824 share no factor with it.
- 4
The digits of 43824 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43824 = 2^{4} \times 3 \times 11 \times 83 \]43824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 13120 |
| Square | 1920542976 |
| Cube | 84165875380224 |
| Square root | 209.341826 (= 4√2739) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.3824 × |
43824 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and twenty-four |
| Binary (base 2) | 1010101100110000 |
| Octal (base 8) | 125460 |
| Hexadecimal (base 16) | AB30 |
| Base 3 | 2020010010 |
| As time | 43824 seconds = 12 h 10 min 24 s |
Is 43824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43824 ÷ 2 = 21912) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43824 ÷ 3 = 14608) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43824 ÷ 4 = 10956) | 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 (43824 ÷ 6 = 7304) | 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 | Yes (43824 ÷ 8 = 5478) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (43824 ÷ 11 = 3984) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43824 ÷ 12 = 3652) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43824 a prime number?
No. 43824 = × 3 × 11 × 83, so it is divisible by 2.
What are the factors of 43824?
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 83, 88, 132, 166, 176, 249, 264, 332, 498, 528, 664, 913, 996, 1328, 1826, 1992, 2739, 3652, 3984, 5478, 7304, 10956, 14608, 21912, 43824.
What is 43824 in binary?
1010101100110000 (hexadecimal AB30, octal 125460).
What is the square root of 43824?
About 209.3418, exactly 4√2739.
Is 43824 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 43824?
43824 is a happy number: repeatedly adding the squares of its digits reaches 1.