The number 41020
41020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 293. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 293, 586, 1172, 1465 … 41020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41020: a Harshad number: divisible by its digit sum 7.
- 2
41020 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 41020 itself that is 57764, so 41020 is abundant (57764 is more than 41020). Euler's totient φ(41020) = 14016 numbers up to 41020 share no factor with it.
- 4
The digits of 41020 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41020 = 2^{2} \times 5 \times 7 \times 293 \]41020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 14016 |
| Square | 1682640400 |
| Cube | 69021909208000 |
| Square root | 202.533948 (= 2√10255) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.102 × |
41020 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and twenty |
| Binary (base 2) | 1010000000111100 |
| Octal (base 8) | 120074 |
| Hexadecimal (base 16) | A03C |
| Base 3 | 2002021021 |
| As time | 41020 seconds = 11 h 23 min 40 s |
Is 41020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41020 ÷ 2 = 20510) | 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 | Yes (41020 ÷ 4 = 10255) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41020 ÷ 5 = 8204) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41020 ÷ 7 = 5860) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41020 ÷ 10 = 4102) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41020 a prime number?
No. 41020 = × 5 × 7 × 293, so it is divisible by 2.
What are the factors of 41020?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 293, 586, 1172, 1465, 2051, 2930, 4102, 5860, 8204, 10255, 20510, 41020.
What is 41020 in binary?
1010000000111100 (hexadecimal A03C, octal 120074).
What is the square root of 41020?
About 202.5339, exactly 2√10255.
Is 41020 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 41020?
41020 is a Harshad number: divisible by its digit sum 7.