The number 41604
41604 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3467. Divisors (12): 1, 2, 3, 4, 6, 12, 3467, 6934, 10401, 13868, 20802, 41604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41604 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41604 is composite. Its prime factorisation is
- 3
The divisors add up to 97104; without 41604 itself that is 55500, so 41604 is abundant (55500 is more than 41604). Euler's totient φ(41604) = 13864 numbers up to 41604 share no factor with it.
- 4
The digits of 41604 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41604 = 2^{2} \times 3 \times 3467 \]41604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 97104 |
| Euler totient φ(n) | 13864 |
| Square | 1730892816 |
| Cube | 72012064716864 |
| Square root | 203.970586 (= 2√10401) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1604 × |
41604 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand six hundred and four |
| Binary (base 2) | 1010001010000100 |
| Octal (base 8) | 121204 |
| Hexadecimal (base 16) | A284 |
| Base 3 | 2010001220 |
| As time | 41604 seconds = 11 h 33 min 24 s |
Is 41604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41604 ÷ 2 = 20802) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41604 ÷ 3 = 13868) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41604 ÷ 4 = 10401) | 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 | Yes (41604 ÷ 6 = 6934) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41604 ÷ 12 = 3467) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41604 a prime number?
No. 41604 = × 3 × 3467, so it is divisible by 2.
What are the factors of 41604?
1, 2, 3, 4, 6, 12, 3467, 6934, 10401, 13868, 20802, 41604.
What is 41604 in binary?
1010001010000100 (hexadecimal A284, octal 121204).
What is the square root of 41604?
About 203.9706, exactly 2√10401.
Is 41604 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 41604?
It is a composite number with 12 divisors.