The number 41764
41764 is a composite number with 12 divisors. Its prime factorisation is × 53 × 197. Divisors (12): 1, 2, 4, 53, 106, 197, 212, 394, 788, 10441, 20882, 41764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41764 is composite. Its prime factorisation is
- 3
The divisors add up to 74844; without 41764 itself that is 33080, so 41764 is deficient (33080 is less than 41764). Euler's totient φ(41764) = 20384 numbers up to 41764 share no factor with it.
- 4
The digits of 41764 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41764 = 2^{2} \times 53 \times 197 \]41764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 74844 |
| Euler totient φ(n) | 20384 |
| Square | 1744231696 |
| Cube | 72846092551744 |
| Square root | 204.362423 (= 2√10441) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.1764 × |
41764 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and sixty-four |
| Binary (base 2) | 1010001100100100 |
| Octal (base 8) | 121444 |
| Hexadecimal (base 16) | A324 |
| Base 3 | 2010021211 |
| As time | 41764 seconds = 11 h 36 min 4 s |
Is 41764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41764 ÷ 2 = 20882) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41764 ÷ 4 = 10441) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41764 a prime number?
No. 41764 = × 53 × 197, so it is divisible by 2.
What are the factors of 41764?
1, 2, 4, 53, 106, 197, 212, 394, 788, 10441, 20882, 41764.
What is 41764 in binary?
1010001100100100 (hexadecimal A324, octal 121444).
What is the square root of 41764?
About 204.3624, exactly 2√10441.
Is 41764 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 41764?
It is a composite number with 12 divisors.