The number 43232
43232 is a composite number with 24 divisors. Its prime factorisation is × 7 × 193. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 193, 224, 386, 772, 1351 … 43232.
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How to work it out
- 1
What is special about 43232: a Harshad number: divisible by its digit sum 14.
- 2
43232 is composite. Its prime factorisation is
- 3
The divisors add up to 97776; without 43232 itself that is 54544, so 43232 is abundant (54544 is more than 43232). Euler's totient φ(43232) = 18432 numbers up to 43232 share no factor with it.
- 4
The digits of 43232 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43232 = 2^{5} \times 7 \times 193 \]43232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 97776 |
| Euler totient φ(n) | 18432 |
| Square | 1869005824 |
| Cube | 80800859783168 |
| Square root | 207.923063 (= 4√2702) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3232 × |
43232 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and thirty-two |
| Binary (base 2) | 1010100011100000 |
| Octal (base 8) | 124340 |
| Hexadecimal (base 16) | A8E0 |
| Base 3 | 2012022012 |
| As time | 43232 seconds = 12 h 0 min 32 s |
Is 43232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43232 ÷ 2 = 21616) | 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 (43232 ÷ 4 = 10808) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (43232 ÷ 7 = 6176) | 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 (43232 ÷ 8 = 5404) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 43232 a prime number?
No. 43232 = × 7 × 193, so it is divisible by 2.
What are the factors of 43232?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 193, 224, 386, 772, 1351, 1544, 2702, 3088, 5404, 6176, 10808, 21616, 43232.
What is 43232 in binary?
1010100011100000 (hexadecimal A8E0, octal 124340).
What is the square root of 43232?
About 207.9231, exactly 4√2702.
Is 43232 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 43232?
43232 is a Harshad number: divisible by its digit sum 14.