The number 43328
43328 is a composite number with 14 divisors. Its prime factorisation is × 677. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 677, 1354, 2708, 5416, 10832, 21664, 43328.
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How to work it out
- 1
43328 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43328 is composite. Its prime factorisation is
- 3
The divisors add up to 86106; without 43328 itself that is 42778, so 43328 is deficient (42778 is less than 43328). Euler's totient φ(43328) = 21632 numbers up to 43328 share no factor with it.
- 4
The digits of 43328 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43328 = 2^{6} \times 677 \]43328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 86106 |
| Euler totient φ(n) | 21632 |
| Square | 1877315584 |
| Cube | 81340329623552 |
| Square root | 208.153789 (= 8√677) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.3328 × |
43328 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and twenty-eight |
| Binary (base 2) | 1010100101000000 |
| Octal (base 8) | 124500 |
| Hexadecimal (base 16) | A940 |
| Base 3 | 2012102202 |
| As time | 43328 seconds = 12 h 2 min 8 s |
Is 43328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43328 ÷ 2 = 21664) | 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 (43328 ÷ 4 = 10832) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (43328 ÷ 8 = 5416) | 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 8) | 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 43328 a prime number?
No. 43328 = × 677, so it is divisible by 2.
What are the factors of 43328?
1, 2, 4, 8, 16, 32, 64, 677, 1354, 2708, 5416, 10832, 21664, 43328.
What is 43328 in binary?
1010100101000000 (hexadecimal A940, octal 124500).
What is the square root of 43328?
About 208.1538, exactly 8√677.
Is 43328 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43328?
It is a composite number with 14 divisors.