The number 42066
42066 is a composite number with 32 divisors. Its prime factorisation is 2 × × 19 × 41. Divisors (32): 1, 2, 3, 6, 9, 18, 19, 27, 38, 41, 54, 57, 82, 114, 123, 171 … 42066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42066: a Harshad number: divisible by its digit sum 18.
- 2
42066 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 42066 itself that is 58734, so 42066 is abundant (58734 is more than 42066). Euler's totient φ(42066) = 12960 numbers up to 42066 share no factor with it.
- 4
The digits of 42066 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42066 = 2 \times 3^{3} \times 19 \times 41 \]42066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 12960 |
| Square | 1769548356 |
| Cube | 74437821143496 |
| Square root | 205.099976 (= 3√4674) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2066 × |
42066 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and sixty-six |
| Binary (base 2) | 1010010001010010 |
| Octal (base 8) | 122122 |
| Hexadecimal (base 16) | A452 |
| Base 3 | 2010201000 |
| As time | 42066 seconds = 11 h 41 min 6 s |
Is 42066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42066 ÷ 2 = 21033) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42066 ÷ 3 = 14022) | 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 | Yes (42066 ÷ 6 = 7011) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42066 ÷ 9 = 4674) | 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 2) | 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 42066 a prime number?
No. 42066 = 2 × × 19 × 41, so it is divisible by 2.
What are the factors of 42066?
1, 2, 3, 6, 9, 18, 19, 27, 38, 41, 54, 57, 82, 114, 123, 171, 246, 342, 369, 513, 738, 779, 1026, 1107, 1558, 2214, 2337, 4674, 7011, 14022, 21033, 42066.
What is 42066 in binary?
1010010001010010 (hexadecimal A452, octal 122122).
What is the square root of 42066?
About 205.1000, exactly 3√4674.
Is 42066 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42066?
42066 is a Harshad number: divisible by its digit sum 18.