The number 42166
42166 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 727. Divisors (8): 1, 2, 29, 58, 727, 1454, 21083, 42166.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42166 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42166 is composite. Its prime factorisation is
- 3
The divisors add up to 65520; without 42166 itself that is 23354, so 42166 is deficient (23354 is less than 42166). Euler's totient φ(42166) = 20328 numbers up to 42166 share no factor with it.
- 4
The digits of 42166 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42166 = 2 \times 29 \times 727 \]
42166 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 65520 |
| Euler totient φ(n) | 20328 |
| Square | 1777971556 |
| Cube | 74969948630296 |
| Square root | 205.343614 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2166 × |
42166 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and sixty-six |
| Binary (base 2) | 1010010010110110 |
| Octal (base 8) | 122266 |
| Hexadecimal (base 16) | A4B6 |
| Base 3 | 2010211201 |
| As time | 42166 seconds = 11 h 42 min 46 s |
Is 42166 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42166 ÷ 2 = 21083) | 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 5) | 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 1) | 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 3) | 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 42166 a prime number?
No. 42166 = 2 × 29 × 727, so it is divisible by 2.
What are the factors of 42166?
1, 2, 29, 58, 727, 1454, 21083, 42166.
What is 42166 in binary?
1010010010110110 (hexadecimal A4B6, octal 122266).
What is the square root of 42166?
About 205.3436.
Is 42166 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42166?
It is a composite number with 8 divisors.