The number 43728
43728 is a composite number with 20 divisors. Its prime factorisation is × 3 × 911. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 911, 1822, 2733, 3644, 5466, 7288 … 43728.
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How to work it out
- 1
What is special about 43728: a Harshad number: divisible by its digit sum 24.
- 2
43728 is composite. Its prime factorisation is
- 3
The divisors add up to 113088; without 43728 itself that is 69360, so 43728 is abundant (69360 is more than 43728). Euler's totient φ(43728) = 14560 numbers up to 43728 share no factor with it.
- 4
The digits of 43728 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43728 = 2^{4} \times 3 \times 911 \]43728 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 113088 |
| Euler totient φ(n) | 14560 |
| Square | 1912137984 |
| Cube | 83613969764352 |
| Square root | 209.112410 (= 4√2733) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.3728 × |
43728 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and twenty-eight |
| Binary (base 2) | 1010101011010000 |
| Octal (base 8) | 125320 |
| Hexadecimal (base 16) | AAD0 |
| Base 3 | 2012222120 |
| As time | 43728 seconds = 12 h 8 min 48 s |
Is 43728 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43728 ÷ 2 = 21864) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43728 ÷ 3 = 14576) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43728 ÷ 4 = 10932) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43728 ÷ 6 = 7288) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (43728 ÷ 8 = 5466) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (43728 ÷ 12 = 3644) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43728 a prime number?
No. 43728 = × 3 × 911, so it is divisible by 2.
What are the factors of 43728?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 911, 1822, 2733, 3644, 5466, 7288, 10932, 14576, 21864, 43728.
What is 43728 in binary?
1010101011010000 (hexadecimal AAD0, octal 125320).
What is the square root of 43728?
About 209.1124, exactly 4√2733.
Is 43728 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 43728?
43728 is a Harshad number: divisible by its digit sum 24.