The number 41327
41327 is a composite number with 12 divisors. Its prime factorisation is 11 × 13 × . Divisors (12): 1, 11, 13, 17, 143, 187, 221, 289, 2431, 3179, 3757, 41327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41327: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
41327 is composite. Its prime factorisation is
- 3
The divisors add up to 51576; without 41327 itself that is 10249, so 41327 is deficient (10249 is less than 41327). Euler's totient φ(41327) = 32640 numbers up to 41327 share no factor with it.
- 4
The digits of 41327 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41327 = 11 \times 13 \times 17^{2} \]41327 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 51576 |
| Euler totient φ(n) | 32640 |
| Square | 1707920929 |
| Cube | 70583248232783 |
| Square root | 203.290433 (= 17√143) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.1327 × |
41327 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand three hundred and twenty-seven |
| Binary (base 2) | 1010000101101111 |
| Octal (base 8) | 120557 |
| Hexadecimal (base 16) | A16F |
| Base 3 | 2002200122 |
| As time | 41327 seconds = 11 h 28 min 47 s |
Is 41327 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (41327 ÷ 11 = 3757) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41327 a prime number?
No. 41327 = 11 × 13 × , so it is divisible by 11.
What are the factors of 41327?
1, 11, 13, 17, 143, 187, 221, 289, 2431, 3179, 3757, 41327.
What is 41327 in binary?
1010000101101111 (hexadecimal A16F, octal 120557).
What is the square root of 41327?
About 203.2904, exactly 17√143.
Is 41327 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 41327?
41327 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.