The number 41064
41064 is a composite number with 32 divisors. Its prime factorisation is × 3 × 29 × 59. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 59, 87, 116, 118, 174, 177 … 41064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41064 is composite. Its prime factorisation is
- 3
The divisors add up to 108000; without 41064 itself that is 66936, so 41064 is abundant (66936 is more than 41064). Euler's totient φ(41064) = 12992 numbers up to 41064 share no factor with it.
- 4
The digits of 41064 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41064 = 2^{3} \times 3 \times 29 \times 59 \]41064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 108000 |
| Euler totient φ(n) | 12992 |
| Square | 1686252096 |
| Cube | 69244256070144 |
| Square root | 202.642542 (= 2√10266) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1064 × |
41064 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and sixty-four |
| Binary (base 2) | 1010000001101000 |
| Octal (base 8) | 120150 |
| Hexadecimal (base 16) | A068 |
| Base 3 | 2002022220 |
| As time | 41064 seconds = 11 h 24 min 24 s |
Is 41064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41064 ÷ 2 = 20532) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41064 ÷ 3 = 13688) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41064 ÷ 4 = 10266) | 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 | Yes (41064 ÷ 6 = 6844) | 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 | Yes (41064 ÷ 8 = 5133) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41064 ÷ 12 = 3422) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41064 a prime number?
No. 41064 = × 3 × 29 × 59, so it is divisible by 2.
What are the factors of 41064?
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 59, 87, 116, 118, 174, 177, 232, 236, 348, 354, 472, 696, 708, 1416, 1711, 3422, 5133, 6844, 10266, 13688, 20532, 41064.
What is 41064 in binary?
1010000001101000 (hexadecimal A068, octal 120150).
What is the square root of 41064?
About 202.6425, exactly 2√10266.
Is 41064 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 41064?
It is a composite number with 32 divisors.