The number 41504
41504 is a composite number with 12 divisors. Its prime factorisation is × 1297. Divisors (12): 1, 2, 4, 8, 16, 32, 1297, 2594, 5188, 10376, 20752, 41504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41504 is composite. Its prime factorisation is
- 3
The divisors add up to 81774; without 41504 itself that is 40270, so 41504 is deficient (40270 is less than 41504). Euler's totient φ(41504) = 20736 numbers up to 41504 share no factor with it.
- 4
The digits of 41504 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41504 = 2^{5} \times 1297 \]41504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81774 |
| Euler totient φ(n) | 20736 |
| Square | 1722582016 |
| Cube | 71494043992064 |
| Square root | 203.725305 (= 4√2594) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.1504 × |
41504 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand five hundred and four |
| Binary (base 2) | 1010001000100000 |
| Octal (base 8) | 121040 |
| Hexadecimal (base 16) | A220 |
| Base 3 | 2002221012 |
| As time | 41504 seconds = 11 h 31 min 44 s |
Is 41504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41504 ÷ 2 = 20752) | 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 (41504 ÷ 4 = 10376) | 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 | No (remainder 1) | 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 (41504 ÷ 8 = 5188) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 41504 a prime number?
No. 41504 = × 1297, so it is divisible by 2.
What are the factors of 41504?
1, 2, 4, 8, 16, 32, 1297, 2594, 5188, 10376, 20752, 41504.
What is 41504 in binary?
1010001000100000 (hexadecimal A220, octal 121040).
What is the square root of 41504?
About 203.7253, exactly 4√2594.
Is 41504 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 41504?
It is a composite number with 12 divisors.