The number 41180
41180 is a composite number with 24 divisors. Its prime factorisation is × 5 × 29 × 71. Divisors (24): 1, 2, 4, 5, 10, 20, 29, 58, 71, 116, 142, 145, 284, 290, 355, 580 … 41180.
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How to work it out
- 1
What is special about 41180: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41180 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 41180 itself that is 49540, so 41180 is abundant (49540 is more than 41180). Euler's totient φ(41180) = 15680 numbers up to 41180 share no factor with it.
- 4
The digits of 41180 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41180 = 2^{2} \times 5 \times 29 \times 71 \]41180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 15680 |
| Square | 1695792400 |
| Cube | 69832731032000 |
| Square root | 202.928559 (= 2√10295) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.118 × |
41180 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and eighty |
| Binary (base 2) | 1010000011011100 |
| Octal (base 8) | 120334 |
| Hexadecimal (base 16) | A0DC |
| Base 3 | 2002111012 |
| As time | 41180 seconds = 11 h 26 min 20 s |
Is 41180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41180 ÷ 2 = 20590) | 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 (41180 ÷ 4 = 10295) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41180 ÷ 5 = 8236) | 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 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 4) | 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 (41180 ÷ 10 = 4118) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41180 a prime number?
No. 41180 = × 5 × 29 × 71, so it is divisible by 2.
What are the factors of 41180?
1, 2, 4, 5, 10, 20, 29, 58, 71, 116, 142, 145, 284, 290, 355, 580, 710, 1420, 2059, 4118, 8236, 10295, 20590, 41180.
What is 41180 in binary?
1010000011011100 (hexadecimal A0DC, octal 120334).
What is the square root of 41180?
About 202.9286, exactly 2√10295.
Is 41180 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 41180?
41180 is a happy number: repeatedly adding the squares of its digits reaches 1.