The number 41684
41684 is a composite number with 12 divisors. Its prime factorisation is × 17 × 613. Divisors (12): 1, 2, 4, 17, 34, 68, 613, 1226, 2452, 10421, 20842, 41684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41684: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41684 is composite. Its prime factorisation is
- 3
The divisors add up to 77364; without 41684 itself that is 35680, so 41684 is deficient (35680 is less than 41684). Euler's totient φ(41684) = 19584 numbers up to 41684 share no factor with it.
- 4
The digits of 41684 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41684 = 2^{2} \times 17 \times 613 \]41684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77364 |
| Euler totient φ(n) | 19584 |
| Square | 1737555856 |
| Cube | 72428278301504 |
| Square root | 204.166599 (= 2√10421) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.1684 × |
41684 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand six hundred and eighty-four |
| Binary (base 2) | 1010001011010100 |
| Octal (base 8) | 121324 |
| Hexadecimal (base 16) | A2D4 |
| Base 3 | 2010011212 |
| As time | 41684 seconds = 11 h 34 min 44 s |
Is 41684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41684 ÷ 2 = 20842) | 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 (41684 ÷ 4 = 10421) | 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 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 41684 a prime number?
No. 41684 = × 17 × 613, so it is divisible by 2.
What are the factors of 41684?
1, 2, 4, 17, 34, 68, 613, 1226, 2452, 10421, 20842, 41684.
What is 41684 in binary?
1010001011010100 (hexadecimal A2D4, octal 121324).
What is the square root of 41684?
About 204.1666, exactly 2√10421.
Is 41684 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 41684?
41684 is a happy number: repeatedly adding the squares of its digits reaches 1.