The number 41404
41404 is a composite number with 12 divisors. Its prime factorisation is × 11 × 941. Divisors (12): 1, 2, 4, 11, 22, 44, 941, 1882, 3764, 10351, 20702, 41404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41404: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41404 is composite. Its prime factorisation is
- 3
The divisors add up to 79128; without 41404 itself that is 37724, so 41404 is deficient (37724 is less than 41404). Euler's totient φ(41404) = 18800 numbers up to 41404 share no factor with it.
- 4
The digits of 41404 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41404 = 2^{2} \times 11 \times 941 \]41404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 79128 |
| Euler totient φ(n) | 18800 |
| Square | 1714291216 |
| Cube | 70978513507264 |
| Square root | 203.479729 (= 2√10351) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.1404 × |
41404 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and four |
| Binary (base 2) | 1010000110111100 |
| Octal (base 8) | 120674 |
| Hexadecimal (base 16) | A1BC |
| Base 3 | 2002210111 |
| As time | 41404 seconds = 11 h 30 min 4 s |
Is 41404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41404 ÷ 2 = 20702) | 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 (41404 ÷ 4 = 10351) | 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 | 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (41404 ÷ 11 = 3764) | 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 41404 a prime number?
No. 41404 = × 11 × 941, so it is divisible by 2.
What are the factors of 41404?
1, 2, 4, 11, 22, 44, 941, 1882, 3764, 10351, 20702, 41404.
What is 41404 in binary?
1010000110111100 (hexadecimal A1BC, octal 120674).
What is the square root of 41404?
About 203.4797, exactly 2√10351.
Is 41404 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 41404?
41404 is a happy number: repeatedly adding the squares of its digits reaches 1.