The number 41967
41967 is a composite number with 6 divisors. Its prime factorisation is × 4663. Divisors (6): 1, 3, 9, 4663, 13989, 41967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41967 is composite. Its prime factorisation is
- 3
The divisors add up to 60632; without 41967 itself that is 18665, so 41967 is deficient (18665 is less than 41967). Euler's totient φ(41967) = 27972 numbers up to 41967 share no factor with it.
- 4
The digits of 41967 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41967 = 3^{2} \times 4663 \]41967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 60632 |
| Euler totient φ(n) | 27972 |
| Square | 1761229089 |
| Cube | 73913501178063 |
| Square root | 204.858488 (= 3√4663) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.1967 × |
41967 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand nine hundred and sixty-seven |
| Binary (base 2) | 1010001111101111 |
| Octal (base 8) | 121757 |
| Hexadecimal (base 16) | A3EF |
| Base 3 | 2010120100 |
| As time | 41967 seconds = 11 h 39 min 27 s |
Is 41967 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 (41967 ÷ 3 = 13989) | 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41967 ÷ 9 = 4663) | 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 2) | 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 41967 a prime number?
No. 41967 = × 4663, so it is divisible by 3.
What are the factors of 41967?
1, 3, 9, 4663, 13989, 41967.
What is 41967 in binary?
1010001111101111 (hexadecimal A3EF, octal 121757).
What is the square root of 41967?
About 204.8585, exactly 3√4663.
Is 41967 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 41967?
It is a composite number with 6 divisors.