The number 41728
41728 is a composite number with 18 divisors. Its prime factorisation is × 163. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 163, 256, 326, 652, 1304, 2608, 5216, 10432 … 41728.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41728 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41728 is composite. Its prime factorisation is
- 3
The divisors add up to 83804; without 41728 itself that is 42076, so 41728 is abundant (42076 is more than 41728). Euler's totient φ(41728) = 20736 numbers up to 41728 share no factor with it.
- 4
The digits of 41728 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41728 = 2^{8} \times 163 \]41728 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 83804 |
| Euler totient φ(n) | 20736 |
| Square | 1741225984 |
| Cube | 72657877860352 |
| Square root | 204.274325 (= 16√163) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.1728 × |
41728 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and twenty-eight |
| Binary (base 2) | 1010001100000000 |
| Octal (base 8) | 121400 |
| Hexadecimal (base 16) | A300 |
| Base 3 | 2010020111 |
| As time | 41728 seconds = 11 h 35 min 28 s |
Is 41728 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41728 ÷ 2 = 20864) | 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 (41728 ÷ 4 = 10432) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 (41728 ÷ 8 = 5216) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41728 a prime number?
No. 41728 = × 163, so it is divisible by 2.
What are the factors of 41728?
1, 2, 4, 8, 16, 32, 64, 128, 163, 256, 326, 652, 1304, 2608, 5216, 10432, 20864, 41728.
What is 41728 in binary?
1010001100000000 (hexadecimal A300, octal 121400).
What is the square root of 41728?
About 204.2743, exactly 16√163.
Is 41728 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 41728?
It is a composite number with 18 divisors.