The number 41565
41565 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 17 × 163. Divisors (16): 1, 3, 5, 15, 17, 51, 85, 163, 255, 489, 815, 2445, 2771, 8313, 13855, 41565.
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How to work it out
- 1
What is special about 41565: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41565 is composite. Its prime factorisation is
- 3
The divisors add up to 70848; without 41565 itself that is 29283, so 41565 is deficient (29283 is less than 41565). Euler's totient φ(41565) = 20736 numbers up to 41565 share no factor with it.
- 4
The digits of 41565 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41565 = 3 \times 5 \times 17 \times 163 \]
41565 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 70848 |
| Euler totient φ(n) | 20736 |
| Square | 1727649225 |
| Cube | 71809740037125 |
| Square root | 203.874962 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.1565 × |
41565 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand five hundred and sixty-five |
| Binary (base 2) | 1010001001011101 |
| Octal (base 8) | 121135 |
| Hexadecimal (base 16) | A25D |
| Base 3 | 2010000110 |
| As time | 41565 seconds = 11 h 32 min 45 s |
Is 41565 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 (41565 ÷ 3 = 13855) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41565 ÷ 5 = 8313) | 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 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41565 a prime number?
No. 41565 = 3 × 5 × 17 × 163, so it is divisible by 3.
What are the factors of 41565?
1, 3, 5, 15, 17, 51, 85, 163, 255, 489, 815, 2445, 2771, 8313, 13855, 41565.
What is 41565 in binary?
1010001001011101 (hexadecimal A25D, octal 121135).
What is the square root of 41565?
About 203.8750.
Is 41565 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 41565?
41565 is a happy number: repeatedly adding the squares of its digits reaches 1.