The number 41024
41024 is a composite number with 14 divisors. Its prime factorisation is × 641. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 641, 1282, 2564, 5128, 10256, 20512, 41024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41024 is composite. Its prime factorisation is
- 3
The divisors add up to 81534; without 41024 itself that is 40510, so 41024 is deficient (40510 is less than 41024). Euler's totient φ(41024) = 20480 numbers up to 41024 share no factor with it.
- 4
The digits of 41024 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41024 = 2^{6} \times 641 \]41024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 81534 |
| Euler totient φ(n) | 20480 |
| Square | 1682968576 |
| Cube | 69042102861824 |
| Square root | 202.543822 (= 8√641) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1024 × |
41024 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and twenty-four |
| Binary (base 2) | 1010000001000000 |
| Octal (base 8) | 120100 |
| Hexadecimal (base 16) | A040 |
| Base 3 | 2002021102 |
| As time | 41024 seconds = 11 h 23 min 44 s |
Is 41024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41024 ÷ 2 = 20512) | 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 (41024 ÷ 4 = 10256) | 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 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 (41024 ÷ 8 = 5128) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | 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 41024 a prime number?
No. 41024 = × 641, so it is divisible by 2.
What are the factors of 41024?
1, 2, 4, 8, 16, 32, 64, 641, 1282, 2564, 5128, 10256, 20512, 41024.
What is 41024 in binary?
1010000001000000 (hexadecimal A040, octal 120100).
What is the square root of 41024?
About 202.5438, exactly 8√641.
Is 41024 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 41024?
It is a composite number with 14 divisors.