The number 41838
41838 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 367. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 367, 734, 1101, 2202, 6973, 13946, 20919, 41838.
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How to work it out
- 1
41838 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41838 is composite. Its prime factorisation is
- 3
The divisors add up to 88320; without 41838 itself that is 46482, so 41838 is abundant (46482 is more than 41838). Euler's totient φ(41838) = 13176 numbers up to 41838 share no factor with it.
- 4
The digits of 41838 add up to 24, 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
\[ 41838 = 2 \times 3 \times 19 \times 367 \]
41838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88320 |
| Euler totient φ(n) | 13176 |
| Square | 1750418244 |
| Cube | 73233998492472 |
| Square root | 204.543394 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1838 × |
41838 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand eight hundred and thirty-eight |
| Binary (base 2) | 1010001101101110 |
| Octal (base 8) | 121556 |
| Hexadecimal (base 16) | A36E |
| Base 3 | 2010101120 |
| As time | 41838 seconds = 11 h 37 min 18 s |
Is 41838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41838 ÷ 2 = 20919) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41838 ÷ 3 = 13946) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (41838 ÷ 6 = 6973) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41838 a prime number?
No. 41838 = 2 × 3 × 19 × 367, so it is divisible by 2.
What are the factors of 41838?
1, 2, 3, 6, 19, 38, 57, 114, 367, 734, 1101, 2202, 6973, 13946, 20919, 41838.
What is 41838 in binary?
1010001101101110 (hexadecimal A36E, octal 121556).
What is the square root of 41838?
About 204.5434.
Is 41838 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 41838?
It is a composite number with 16 divisors.