The number 41041
41041 is a triangular number: 1 + 2 + … + 286 = 41041. Its prime factorisation is 7 × 11 × 13 × 41. Divisors (16): 1, 7, 11, 13, 41, 77, 91, 143, 287, 451, 533, 1001, 3157, 3731, 5863, 41041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41041: a triangular number: 1 + 2 + … + 286 = 41041.
- 2
41041 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 41041 itself that is 15407, so 41041 is deficient (15407 is less than 41041). Euler's totient φ(41041) = 28800 numbers up to 41041 share no factor with it.
- 4
The digits of 41041 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41041 = 7 \times 11 \times 13 \times 41 \]
41041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 28800 |
| Square | 1684363681 |
| Cube | 69127969831921 |
| Square root | 202.585784 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1041 × |
41041 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and forty-one |
| Binary (base 2) | 1010000001010001 |
| Octal (base 8) | 120121 |
| Hexadecimal (base 16) | A051 |
| Base 3 | 2002022001 |
| As time | 41041 seconds = 11 h 24 min 1 s |
Is 41041 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 1) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41041 ÷ 7 = 5863) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (41041 ÷ 11 = 3731) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41041 a prime number?
No. 41041 = 7 × 11 × 13 × 41, so it is divisible by 7.
What are the factors of 41041?
1, 7, 11, 13, 41, 77, 91, 143, 287, 451, 533, 1001, 3157, 3731, 5863, 41041.
What is 41041 in binary?
1010000001010001 (hexadecimal A051, octal 120121).
What is the square root of 41041?
About 202.5858.
Is 41041 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 41041?
41041 is a triangular number: 1 + 2 + … + 286 = 41041.