The number 43432
43432 is a composite number with 16 divisors. Its prime factorisation is × 61 × 89. Divisors (16): 1, 2, 4, 8, 61, 89, 122, 178, 244, 356, 488, 712, 5429, 10858, 21716, 43432.
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How to work it out
- 1
43432 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43432 is composite. Its prime factorisation is
- 3
The divisors add up to 83700; without 43432 itself that is 40268, so 43432 is deficient (40268 is less than 43432). Euler's totient φ(43432) = 21120 numbers up to 43432 share no factor with it.
- 4
The digits of 43432 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43432 = 2^{3} \times 61 \times 89 \]43432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 83700 |
| Euler totient φ(n) | 21120 |
| Square | 1886338624 |
| Cube | 81927459117568 |
| Square root | 208.403455 (= 2√10858) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.3432 × |
43432 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and thirty-two |
| Binary (base 2) | 1010100110101000 |
| Octal (base 8) | 124650 |
| Hexadecimal (base 16) | A9A8 |
| Base 3 | 2012120121 |
| As time | 43432 seconds = 12 h 3 min 52 s |
Is 43432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43432 ÷ 2 = 21716) | 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 | Yes (43432 ÷ 4 = 10858) | 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 4) | 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 (43432 ÷ 8 = 5429) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43432 a prime number?
No. 43432 = × 61 × 89, so it is divisible by 2.
What are the factors of 43432?
1, 2, 4, 8, 61, 89, 122, 178, 244, 356, 488, 712, 5429, 10858, 21716, 43432.
What is 43432 in binary?
1010100110101000 (hexadecimal A9A8, octal 124650).
What is the square root of 43432?
About 208.4035, exactly 2√10858.
Is 43432 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 43432?
It is a composite number with 16 divisors.