The number 42194
42194 is a composite number with 12 divisors. Its prime factorisation is 2 × × 73. Divisors (12): 1, 2, 17, 34, 73, 146, 289, 578, 1241, 2482, 21097, 42194.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42194 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42194 is composite. Its prime factorisation is
- 3
The divisors add up to 68154; without 42194 itself that is 25960, so 42194 is deficient (25960 is less than 42194). Euler's totient φ(42194) = 19584 numbers up to 42194 share no factor with it.
- 4
The digits of 42194 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42194 = 2 \times 17^{2} \times 73 \]42194 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68154 |
| Euler totient φ(n) | 19584 |
| Square | 1780333636 |
| Cube | 75119397437384 |
| Square root | 205.411782 (= 17√146) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2194 × |
42194 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and ninety-four |
| Binary (base 2) | 1010010011010010 |
| Octal (base 8) | 122322 |
| Hexadecimal (base 16) | A4D2 |
| Base 3 | 2010212202 |
| As time | 42194 seconds = 11 h 43 min 14 s |
Is 42194 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42194 ÷ 2 = 21097) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42194 a prime number?
No. 42194 = 2 × × 73, so it is divisible by 2.
What are the factors of 42194?
1, 2, 17, 34, 73, 146, 289, 578, 1241, 2482, 21097, 42194.
What is 42194 in binary?
1010010011010010 (hexadecimal A4D2, octal 122322).
What is the square root of 42194?
About 205.4118, exactly 17√146.
Is 42194 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42194?
It is a composite number with 12 divisors.