The number 41168
41168 is a composite number with 20 divisors. Its prime factorisation is × 31 × 83. Divisors (20): 1, 2, 4, 8, 16, 31, 62, 83, 124, 166, 248, 332, 496, 664, 1328, 2573 … 41168.
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How to work it out
- 1
41168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41168 is composite. Its prime factorisation is
- 3
The divisors add up to 83328; without 41168 itself that is 42160, so 41168 is abundant (42160 is more than 41168). Euler's totient φ(41168) = 19680 numbers up to 41168 share no factor with it.
- 4
The digits of 41168 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41168 = 2^{4} \times 31 \times 83 \]41168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 83328 |
| Euler totient φ(n) | 19680 |
| Square | 1694804224 |
| Cube | 69771700293632 |
| Square root | 202.898990 (= 4√2573) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.1168 × |
41168 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and sixty-eight |
| Binary (base 2) | 1010000011010000 |
| Octal (base 8) | 120320 |
| Hexadecimal (base 16) | A0D0 |
| Base 3 | 2002110202 |
| As time | 41168 seconds = 11 h 26 min 8 s |
Is 41168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41168 ÷ 2 = 20584) | 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 (41168 ÷ 4 = 10292) | 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 | 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 (41168 ÷ 8 = 5146) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | 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 41168 a prime number?
No. 41168 = × 31 × 83, so it is divisible by 2.
What are the factors of 41168?
1, 2, 4, 8, 16, 31, 62, 83, 124, 166, 248, 332, 496, 664, 1328, 2573, 5146, 10292, 20584, 41168.
What is 41168 in binary?
1010000011010000 (hexadecimal A0D0, octal 120320).
What is the square root of 41168?
About 202.8990, exactly 4√2573.
Is 41168 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 41168?
It is a composite number with 20 divisors.