The number 41096
41096 is a composite number with 16 divisors. Its prime factorisation is × 11 × 467. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 467, 934, 1868, 3736, 5137, 10274, 20548, 41096.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41096 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41096 is composite. Its prime factorisation is
- 3
The divisors add up to 84240; without 41096 itself that is 43144, so 41096 is abundant (43144 is more than 41096). Euler's totient φ(41096) = 18640 numbers up to 41096 share no factor with it.
- 4
The digits of 41096 add up to 20, 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
\[ 41096 = 2^{3} \times 11 \times 467 \]41096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84240 |
| Euler totient φ(n) | 18640 |
| Square | 1688881216 |
| Cube | 69406262452736 |
| Square root | 202.721484 (= 2√10274) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1096 × |
41096 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and ninety-six |
| Binary (base 2) | 1010000010001000 |
| Octal (base 8) | 120210 |
| Hexadecimal (base 16) | A088 |
| Base 3 | 2002101002 |
| As time | 41096 seconds = 11 h 24 min 56 s |
Is 41096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41096 ÷ 2 = 20548) | 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 (41096 ÷ 4 = 10274) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 (41096 ÷ 8 = 5137) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (41096 ÷ 11 = 3736) | 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 41096 a prime number?
No. 41096 = × 11 × 467, so it is divisible by 2.
What are the factors of 41096?
1, 2, 4, 8, 11, 22, 44, 88, 467, 934, 1868, 3736, 5137, 10274, 20548, 41096.
What is 41096 in binary?
1010000010001000 (hexadecimal A088, octal 120210).
What is the square root of 41096?
About 202.7215, exactly 2√10274.
Is 41096 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 41096?
It is a composite number with 16 divisors.