The number 41067
41067 is a composite number with 18 divisors. Its prime factorisation is × . Divisors (18): 1, 3, 9, 13, 27, 39, 81, 117, 169, 243, 351, 507, 1053, 1521, 3159, 4563 … 41067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41067 is composite. Its prime factorisation is
- 3
The divisors add up to 66612; without 41067 itself that is 25545, so 41067 is deficient (25545 is less than 41067). Euler's totient φ(41067) = 25272 numbers up to 41067 share no factor with it.
- 4
The digits of 41067 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41067 = 3^{5} \times 13^{2} \]41067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 66612 |
| Euler totient φ(n) | 25272 |
| Square | 1686498489 |
| Cube | 69259433447763 |
| Square root | 202.649944 (= 117√3) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 4.1067 × |
41067 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and sixty-seven |
| Binary (base 2) | 1010000001101011 |
| Octal (base 8) | 120153 |
| Hexadecimal (base 16) | A06B |
| Base 3 | 2002100000 |
| As time | 41067 seconds = 11 h 24 min 27 s |
Is 41067 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41067 ÷ 3 = 13689) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41067 ÷ 9 = 4563) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41067 a prime number?
No. 41067 = × , so it is divisible by 3.
What are the factors of 41067?
1, 3, 9, 13, 27, 39, 81, 117, 169, 243, 351, 507, 1053, 1521, 3159, 4563, 13689, 41067.
What is 41067 in binary?
1010000001101011 (hexadecimal A06B, octal 120153).
What is the square root of 41067?
About 202.6499, exactly 117√3.
Is 41067 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 41067?
It is a composite number with 18 divisors.