The number 41984
41984 is a composite number with 22 divisors. Its prime factorisation is × 41. Divisors (22): 1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 256, 328, 512, 656, 1024 … 41984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41984 is composite. Its prime factorisation is
- 3
The divisors add up to 85974; without 41984 itself that is 43990, so 41984 is abundant (43990 is more than 41984). Euler's totient φ(41984) = 20480 numbers up to 41984 share no factor with it.
- 4
The digits of 41984 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41984 = 2^{10} \times 41 \]41984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 22 |
| Sum of divisors | 85974 |
| Euler totient φ(n) | 20480 |
| Square | 1762656256 |
| Cube | 74003360251904 |
| Square root | 204.899976 (= 32√41) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.1984 × |
41984 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand nine hundred and eighty-four |
| Binary (base 2) | 1010010000000000 |
| Octal (base 8) | 122000 |
| Hexadecimal (base 16) | A400 |
| Base 3 | 2010120222 |
| As time | 41984 seconds = 11 h 39 min 44 s |
Is 41984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41984 ÷ 2 = 20992) | 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 (41984 ÷ 4 = 10496) | 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 5) | 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 (41984 ÷ 8 = 5248) | 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 8) | 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 41984 a prime number?
No. 41984 = × 41, so it is divisible by 2.
What are the factors of 41984?
1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 256, 328, 512, 656, 1024, 1312, 2624, 5248, 10496, 20992, 41984.
What is 41984 in binary?
1010010000000000 (hexadecimal A400, octal 122000).
What is the square root of 41984?
About 204.9000, exactly 32√41.
Is 41984 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 41984?
It is a composite number with 22 divisors.