The number 42106
42106 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 569. Divisors (8): 1, 2, 37, 74, 569, 1138, 21053, 42106.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42106 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42106 is composite. Its prime factorisation is
- 3
The divisors add up to 64980; without 42106 itself that is 22874, so 42106 is deficient (22874 is less than 42106). Euler's totient φ(42106) = 20448 numbers up to 42106 share no factor with it.
- 4
The digits of 42106 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42106 = 2 \times 37 \times 569 \]
42106 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64980 |
| Euler totient φ(n) | 20448 |
| Square | 1772915236 |
| Cube | 74650368927016 |
| Square root | 205.197466 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2106 × |
42106 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and six |
| Binary (base 2) | 1010010001111010 |
| Octal (base 8) | 122172 |
| Hexadecimal (base 16) | A47A |
| Base 3 | 2010202111 |
| As time | 42106 seconds = 11 h 41 min 46 s |
Is 42106 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42106 ÷ 2 = 21053) | 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 | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42106 a prime number?
No. 42106 = 2 × 37 × 569, so it is divisible by 2.
What are the factors of 42106?
1, 2, 37, 74, 569, 1138, 21053, 42106.
What is 42106 in binary?
1010010001111010 (hexadecimal A47A, octal 122172).
What is the square root of 42106?
About 205.1975.
Is 42106 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42106?
It is a composite number with 8 divisors.