The number 41360
41360 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 47. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 47, 55, 80, 88 … 41360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41360 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41360 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 41360 itself that is 65776, so 41360 is abundant (65776 is more than 41360). Euler's totient φ(41360) = 14720 numbers up to 41360 share no factor with it.
- 4
The digits of 41360 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41360 = 2^{4} \times 5 \times 11 \times 47 \]41360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 14720 |
| Square | 1710649600 |
| Cube | 70752467456000 |
| Square root | 203.371581 (= 4√2585) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.136 × |
41360 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand three hundred and sixty |
| Binary (base 2) | 1010000110010000 |
| Octal (base 8) | 120620 |
| Hexadecimal (base 16) | A190 |
| Base 3 | 2002201212 |
| As time | 41360 seconds = 11 h 29 min 20 s |
Is 41360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41360 ÷ 2 = 20680) | 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 (41360 ÷ 4 = 10340) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41360 ÷ 5 = 8272) | 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 4) | 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 (41360 ÷ 8 = 5170) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41360 ÷ 10 = 4136) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (41360 ÷ 11 = 3760) | 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 41360 a prime number?
No. 41360 = × 5 × 11 × 47, so it is divisible by 2.
What are the factors of 41360?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 47, 55, 80, 88, 94, 110, 176, 188, 220, 235, 376, 440, 470, 517, 752, 880, 940, 1034, 1880, 2068, 2585, 3760, 4136, 5170, 8272, 10340, 20680, 41360.
What is 41360 in binary?
1010000110010000 (hexadecimal A190, octal 120620).
What is the square root of 41360?
About 203.3716, exactly 4√2585.
Is 41360 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 41360?
It is a composite number with 40 divisors.