The number 41022
41022 is a composite number with 24 divisors. Its prime factorisation is 2 × × 43 × 53. Divisors (24): 1, 2, 3, 6, 9, 18, 43, 53, 86, 106, 129, 159, 258, 318, 387, 477 … 41022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41022: a Harshad number: divisible by its digit sum 9.
- 2
41022 is composite. Its prime factorisation is
- 3
The divisors add up to 92664; without 41022 itself that is 51642, so 41022 is abundant (51642 is more than 41022). Euler's totient φ(41022) = 13104 numbers up to 41022 share no factor with it.
- 4
The digits of 41022 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41022 = 2 \times 3^{2} \times 43 \times 53 \]41022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 92664 |
| Euler totient φ(n) | 13104 |
| Square | 1682804484 |
| Cube | 69032005542648 |
| Square root | 202.538885 (= 3√4558) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.1022 × |
41022 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and twenty-two |
| Binary (base 2) | 1010000000111110 |
| Octal (base 8) | 120076 |
| Hexadecimal (base 16) | A03E |
| Base 3 | 2002021100 |
| As time | 41022 seconds = 11 h 23 min 42 s |
Is 41022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41022 ÷ 2 = 20511) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41022 ÷ 3 = 13674) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41022 ÷ 6 = 6837) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (41022 ÷ 9 = 4558) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41022 a prime number?
No. 41022 = 2 × × 43 × 53, so it is divisible by 2.
What are the factors of 41022?
1, 2, 3, 6, 9, 18, 43, 53, 86, 106, 129, 159, 258, 318, 387, 477, 774, 954, 2279, 4558, 6837, 13674, 20511, 41022.
What is 41022 in binary?
1010000000111110 (hexadecimal A03E, octal 120076).
What is the square root of 41022?
About 202.5389, exactly 3√4558.
Is 41022 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 41022?
41022 is a Harshad number: divisible by its digit sum 9.