The number 41820
41820 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 17 × 41. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 41, 51, 60 … 41820.
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How to work it out
- 1
What is special about 41820: a Harshad number: divisible by its digit sum 15.
- 2
41820 is composite. Its prime factorisation is
- 3
The divisors add up to 127008; without 41820 itself that is 85188, so 41820 is abundant (85188 is more than 41820). Euler's totient φ(41820) = 10240 numbers up to 41820 share no factor with it.
- 4
The digits of 41820 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41820 = 2^{2} \times 3 \times 5 \times 17 \times 41 \]41820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 127008 |
| Euler totient φ(n) | 10240 |
| Square | 1748912400 |
| Cube | 73139516568000 |
| Square root | 204.499389 (= 2√10455) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.182 × |
41820 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand eight hundred and twenty |
| Binary (base 2) | 1010001101011100 |
| Octal (base 8) | 121534 |
| Hexadecimal (base 16) | A35C |
| Base 3 | 2010100220 |
| As time | 41820 seconds = 11 h 37 min 0 s |
Is 41820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41820 ÷ 2 = 20910) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41820 ÷ 3 = 13940) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41820 ÷ 4 = 10455) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41820 ÷ 5 = 8364) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41820 ÷ 6 = 6970) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41820 ÷ 10 = 4182) | 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 | Yes (41820 ÷ 12 = 3485) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41820 a prime number?
No. 41820 = × 3 × 5 × 17 × 41, so it is divisible by 2.
What are the factors of 41820?
1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 41, 51, 60, 68, 82, 85, 102, 123, 164, 170, 204, 205, 246, 255, 340, 410, 492, 510, 615, 697, 820, 1020, 1230, 1394, 2091, 2460, 2788, 3485, 4182, 6970, 8364, 10455, 13940, 20910, 41820.
What is 41820 in binary?
1010001101011100 (hexadecimal A35C, octal 121534).
What is the square root of 41820?
About 204.4994, exactly 2√10455.
Is 41820 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 41820?
41820 is a Harshad number: divisible by its digit sum 15.