The number 41006
41006 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 29 × 101. Divisors (16): 1, 2, 7, 14, 29, 58, 101, 202, 203, 406, 707, 1414, 2929, 5858, 20503, 41006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41006 is composite. Its prime factorisation is
- 3
The divisors add up to 73440; without 41006 itself that is 32434, so 41006 is deficient (32434 is less than 41006). Euler's totient φ(41006) = 16800 numbers up to 41006 share no factor with it.
- 4
The digits of 41006 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41006 = 2 \times 7 \times 29 \times 101 \]
41006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73440 |
| Euler totient φ(n) | 16800 |
| Square | 1681492036 |
| Cube | 68951262428216 |
| Square root | 202.499383 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1006 × |
41006 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and six |
| Binary (base 2) | 1010000000101110 |
| Octal (base 8) | 120056 |
| Hexadecimal (base 16) | A02E |
| Base 3 | 2002020202 |
| As time | 41006 seconds = 11 h 23 min 26 s |
Is 41006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41006 ÷ 2 = 20503) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41006 ÷ 7 = 5858) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41006 a prime number?
No. 41006 = 2 × 7 × 29 × 101, so it is divisible by 2.
What are the factors of 41006?
1, 2, 7, 14, 29, 58, 101, 202, 203, 406, 707, 1414, 2929, 5858, 20503, 41006.
What is 41006 in binary?
1010000000101110 (hexadecimal A02E, octal 120056).
What is the square root of 41006?
About 202.4994.
Is 41006 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 41006?
It is a composite number with 16 divisors.