The number 41804
41804 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1493. Divisors (12): 1, 2, 4, 7, 14, 28, 1493, 2986, 5972, 10451, 20902, 41804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41804: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41804 is composite. Its prime factorisation is
- 3
The divisors add up to 83664; without 41804 itself that is 41860, so 41804 is abundant (41860 is more than 41804). Euler's totient φ(41804) = 17904 numbers up to 41804 share no factor with it.
- 4
The digits of 41804 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41804 = 2^{2} \times 7 \times 1493 \]41804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83664 |
| Euler totient φ(n) | 17904 |
| Square | 1747574416 |
| Cube | 73055600886464 |
| Square root | 204.460265 (= 2√10451) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.1804 × |
41804 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand eight hundred and four |
| Binary (base 2) | 1010001101001100 |
| Octal (base 8) | 121514 |
| Hexadecimal (base 16) | A34C |
| Base 3 | 2010100022 |
| As time | 41804 seconds = 11 h 36 min 44 s |
Is 41804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41804 ÷ 2 = 20902) | 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 (41804 ÷ 4 = 10451) | 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 | Yes (41804 ÷ 7 = 5972) | 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 | No (remainder 4) | 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 4) | 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 41804 a prime number?
No. 41804 = × 7 × 1493, so it is divisible by 2.
What are the factors of 41804?
1, 2, 4, 7, 14, 28, 1493, 2986, 5972, 10451, 20902, 41804.
What is 41804 in binary?
1010001101001100 (hexadecimal A34C, octal 121514).
What is the square root of 41804?
About 204.4603, exactly 2√10451.
Is 41804 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 41804?
41804 is a happy number: repeatedly adding the squares of its digits reaches 1.