The number 41704
41704 is a composite number with 16 divisors. Its prime factorisation is × 13 × 401. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 401, 802, 1604, 3208, 5213, 10426, 20852, 41704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41704: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41704 is composite. Its prime factorisation is
- 3
The divisors add up to 84420; without 41704 itself that is 42716, so 41704 is abundant (42716 is more than 41704). Euler's totient φ(41704) = 19200 numbers up to 41704 share no factor with it.
- 4
The digits of 41704 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41704 = 2^{3} \times 13 \times 401 \]41704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84420 |
| Euler totient φ(n) | 19200 |
| Square | 1739223616 |
| Cube | 72532581681664 |
| Square root | 204.215572 (= 2√10426) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.1704 × |
41704 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand seven hundred and four |
| Binary (base 2) | 1010001011101000 |
| Octal (base 8) | 121350 |
| Hexadecimal (base 16) | A2E8 |
| Base 3 | 2010012121 |
| As time | 41704 seconds = 11 h 35 min 4 s |
Is 41704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41704 ÷ 2 = 20852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41704 ÷ 4 = 10426) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (41704 ÷ 8 = 5213) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41704 a prime number?
No. 41704 = × 13 × 401, so it is divisible by 2.
What are the factors of 41704?
1, 2, 4, 8, 13, 26, 52, 104, 401, 802, 1604, 3208, 5213, 10426, 20852, 41704.
What is 41704 in binary?
1010001011101000 (hexadecimal A2E8, octal 121350).
What is the square root of 41704?
About 204.2156, exactly 2√10426.
Is 41704 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 41704?
41704 is a happy number: repeatedly adding the squares of its digits reaches 1.