The number 41808
41808 is a composite number with 40 divisors. Its prime factorisation is × 3 × 13 × 67. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 67, 78 … 41808.
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How to work it out
- 1
41808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41808 is composite. Its prime factorisation is
- 3
The divisors add up to 118048; without 41808 itself that is 76240, so 41808 is abundant (76240 is more than 41808). Euler's totient φ(41808) = 12672 numbers up to 41808 share no factor with it.
- 4
The digits of 41808 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41808 = 2^{4} \times 3 \times 13 \times 67 \]41808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 118048 |
| Euler totient φ(n) | 12672 |
| Square | 1747908864 |
| Cube | 73076573786112 |
| Square root | 204.470047 (= 4√2613) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.1808 × |
41808 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand eight hundred and eight |
| Binary (base 2) | 1010001101010000 |
| Octal (base 8) | 121520 |
| Hexadecimal (base 16) | A350 |
| Base 3 | 2010100110 |
| As time | 41808 seconds = 11 h 36 min 48 s |
Is 41808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41808 ÷ 2 = 20904) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41808 ÷ 3 = 13936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41808 ÷ 4 = 10452) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41808 ÷ 6 = 6968) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (41808 ÷ 8 = 5226) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (41808 ÷ 12 = 3484) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41808 a prime number?
No. 41808 = × 3 × 13 × 67, so it is divisible by 2.
What are the factors of 41808?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 67, 78, 104, 134, 156, 201, 208, 268, 312, 402, 536, 624, 804, 871, 1072, 1608, 1742, 2613, 3216, 3484, 5226, 6968, 10452, 13936, 20904, 41808.
What is 41808 in binary?
1010001101010000 (hexadecimal A350, octal 121520).
What is the square root of 41808?
About 204.4700, exactly 4√2613.
Is 41808 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 41808?
It is a composite number with 40 divisors.