The number 43424
43424 is a composite number with 24 divisors. Its prime factorisation is × 23 × 59. Divisors (24): 1, 2, 4, 8, 16, 23, 32, 46, 59, 92, 118, 184, 236, 368, 472, 736 … 43424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43424 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 43424 itself that is 47296, so 43424 is abundant (47296 is more than 43424). Euler's totient φ(43424) = 20416 numbers up to 43424 share no factor with it.
- 4
The digits of 43424 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43424 = 2^{5} \times 23 \times 59 \]43424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 20416 |
| Square | 1885643776 |
| Cube | 81882195329024 |
| Square root | 208.384260 (= 4√2714) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.3424 × |
43424 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and twenty-four |
| Binary (base 2) | 1010100110100000 |
| Octal (base 8) | 124640 |
| Hexadecimal (base 16) | A9A0 |
| Base 3 | 2012120022 |
| As time | 43424 seconds = 12 h 3 min 44 s |
Is 43424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43424 ÷ 2 = 21712) | 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 (43424 ÷ 4 = 10856) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (43424 ÷ 8 = 5428) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 7) | 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 43424 a prime number?
No. 43424 = × 23 × 59, so it is divisible by 2.
What are the factors of 43424?
1, 2, 4, 8, 16, 23, 32, 46, 59, 92, 118, 184, 236, 368, 472, 736, 944, 1357, 1888, 2714, 5428, 10856, 21712, 43424.
What is 43424 in binary?
1010100110100000 (hexadecimal A9A0, octal 124640).
What is the square root of 43424?
About 208.3843, exactly 4√2714.
Is 43424 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 43424?
It is a composite number with 24 divisors.