The number 43024
43024 is a composite number with 10 divisors. Its prime factorisation is × 2689. Divisors (10): 1, 2, 4, 8, 16, 2689, 5378, 10756, 21512, 43024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43024 is composite. Its prime factorisation is
- 3
The divisors add up to 83390; without 43024 itself that is 40366, so 43024 is deficient (40366 is less than 43024). Euler's totient φ(43024) = 21504 numbers up to 43024 share no factor with it.
- 4
The digits of 43024 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43024 = 2^{4} \times 2689 \]43024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 83390 |
| Euler totient φ(n) | 21504 |
| Square | 1851064576 |
| Cube | 79640202317824 |
| Square root | 207.422275 (= 4√2689) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.3024 × |
43024 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and twenty-four |
| Binary (base 2) | 1010100000010000 |
| Octal (base 8) | 124020 |
| Hexadecimal (base 16) | A810 |
| Base 3 | 2012000111 |
| As time | 43024 seconds = 11 h 57 min 4 s |
Is 43024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43024 ÷ 2 = 21512) | 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 (43024 ÷ 4 = 10756) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (43024 ÷ 8 = 5378) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | 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 43024 a prime number?
No. 43024 = × 2689, so it is divisible by 2.
What are the factors of 43024?
1, 2, 4, 8, 16, 2689, 5378, 10756, 21512, 43024.
What is 43024 in binary?
1010100000010000 (hexadecimal A810, octal 124020).
What is the square root of 43024?
About 207.4223, exactly 4√2689.
Is 43024 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 43024?
It is a composite number with 10 divisors.