The number 42006
42006 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 7001. Divisors (8): 1, 2, 3, 6, 7001, 14002, 21003, 42006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42006 is composite. Its prime factorisation is
- 3
The divisors add up to 84024; without 42006 itself that is 42018, so 42006 is abundant (42018 is more than 42006). Euler's totient φ(42006) = 14000 numbers up to 42006 share no factor with it.
- 4
The digits of 42006 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42006 = 2 \times 3 \times 7001 \]
42006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 84024 |
| Euler totient φ(n) | 14000 |
| Square | 1764504036 |
| Cube | 74119756536216 |
| Square root | 204.953653 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2006 × |
42006 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and six |
| Binary (base 2) | 1010010000010110 |
| Octal (base 8) | 122026 |
| Hexadecimal (base 16) | A416 |
| Base 3 | 2010121210 |
| As time | 42006 seconds = 11 h 40 min 6 s |
Is 42006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42006 ÷ 2 = 21003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42006 ÷ 3 = 14002) | 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 (42006 ÷ 6 = 7001) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | 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 42006 a prime number?
No. 42006 = 2 × 3 × 7001, so it is divisible by 2.
What are the factors of 42006?
1, 2, 3, 6, 7001, 14002, 21003, 42006.
What is 42006 in binary?
1010010000010110 (hexadecimal A416, octal 122026).
What is the square root of 42006?
About 204.9537.
Is 42006 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42006?
It is a composite number with 8 divisors.