The number 41005
41005 is a composite number with 8 divisors. Its prime factorisation is 5 × 59 × 139. Divisors (8): 1, 5, 59, 139, 295, 695, 8201, 41005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41005 is composite. Its prime factorisation is
- 3
The divisors add up to 50400; without 41005 itself that is 9395, so 41005 is deficient (9395 is less than 41005). Euler's totient φ(41005) = 32016 numbers up to 41005 share no factor with it.
- 4
The digits of 41005 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
\[ 41005 = 5 \times 59 \times 139 \]
41005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50400 |
| Euler totient φ(n) | 32016 |
| Square | 1681410025 |
| Cube | 68946218075125 |
| Square root | 202.496914 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1005 × |
41005 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and five |
| Binary (base 2) | 1010000000101101 |
| Octal (base 8) | 120055 |
| Hexadecimal (base 16) | A02D |
| Base 3 | 2002020201 |
| As time | 41005 seconds = 11 h 23 min 25 s |
Is 41005 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 | Yes (41005 ÷ 5 = 8201) | 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 | 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 5) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 41005 a prime number?
No. 41005 = 5 × 59 × 139, so it is divisible by 5.
What are the factors of 41005?
1, 5, 59, 139, 295, 695, 8201, 41005.
What is 41005 in binary?
1010000000101101 (hexadecimal A02D, octal 120055).
What is the square root of 41005?
About 202.4969.
Is 41005 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 41005?
It is a composite number with 8 divisors.