The number 41104
41104 is a composite number with 20 divisors. Its prime factorisation is × 7 × 367. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 367, 734, 1468, 2569, 2936, 5138 … 41104.
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How to work it out
- 1
41104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41104 is composite. Its prime factorisation is
- 3
The divisors add up to 91264; without 41104 itself that is 50160, so 41104 is abundant (50160 is more than 41104). Euler's totient φ(41104) = 17568 numbers up to 41104 share no factor with it.
- 4
The digits of 41104 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41104 = 2^{4} \times 7 \times 367 \]41104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 91264 |
| Euler totient φ(n) | 17568 |
| Square | 1689538816 |
| Cube | 69446803492864 |
| Square root | 202.741214 (= 4√2569) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1104 × |
41104 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and four |
| Binary (base 2) | 1010000010010000 |
| Octal (base 8) | 120220 |
| Hexadecimal (base 16) | A090 |
| Base 3 | 2002101101 |
| As time | 41104 seconds = 11 h 25 min 4 s |
Is 41104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41104 ÷ 2 = 20552) | 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 (41104 ÷ 4 = 10276) | 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 | Yes (41104 ÷ 7 = 5872) | 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 (41104 ÷ 8 = 5138) | 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 8) | 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 41104 a prime number?
No. 41104 = × 7 × 367, so it is divisible by 2.
What are the factors of 41104?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 367, 734, 1468, 2569, 2936, 5138, 5872, 10276, 20552, 41104.
What is 41104 in binary?
1010000010010000 (hexadecimal A090, octal 120220).
What is the square root of 41104?
About 202.7412, exactly 4√2569.
Is 41104 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 41104?
It is a composite number with 20 divisors.