The number 41824
41824 is a composite number with 12 divisors. Its prime factorisation is × 1307. Divisors (12): 1, 2, 4, 8, 16, 32, 1307, 2614, 5228, 10456, 20912, 41824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41824 is composite. Its prime factorisation is
- 3
The divisors add up to 82404; without 41824 itself that is 40580, so 41824 is deficient (40580 is less than 41824). Euler's totient φ(41824) = 20896 numbers up to 41824 share no factor with it.
- 4
The digits of 41824 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41824 = 2^{5} \times 1307 \]41824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 82404 |
| Euler totient φ(n) | 20896 |
| Square | 1749246976 |
| Cube | 73160505524224 |
| Square root | 204.509168 (= 4√2614) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.1824 × |
41824 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand eight hundred and twenty-four |
| Binary (base 2) | 1010001101100000 |
| Octal (base 8) | 121540 |
| Hexadecimal (base 16) | A360 |
| Base 3 | 2010101001 |
| As time | 41824 seconds = 11 h 37 min 4 s |
Is 41824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41824 ÷ 2 = 20912) | 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 (41824 ÷ 4 = 10456) | 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 6) | 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 (41824 ÷ 8 = 5228) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | 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 41824 a prime number?
No. 41824 = × 1307, so it is divisible by 2.
What are the factors of 41824?
1, 2, 4, 8, 16, 32, 1307, 2614, 5228, 10456, 20912, 41824.
What is 41824 in binary?
1010001101100000 (hexadecimal A360, octal 121540).
What is the square root of 41824?
About 204.5092, exactly 4√2614.
Is 41824 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 41824?
It is a composite number with 12 divisors.