The number 42190
42190 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 4219. Divisors (8): 1, 2, 5, 10, 4219, 8438, 21095, 42190.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42190 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42190 is composite. Its prime factorisation is
- 3
The divisors add up to 75960; without 42190 itself that is 33770, so 42190 is deficient (33770 is less than 42190). Euler's totient φ(42190) = 16872 numbers up to 42190 share no factor with it.
- 4
The digits of 42190 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42190 = 2 \times 5 \times 4219 \]
42190 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75960 |
| Euler totient φ(n) | 16872 |
| Square | 1779996100 |
| Cube | 75098035459000 |
| Square root | 205.402045 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.219 × |
42190 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and ninety |
| Binary (base 2) | 1010010011001110 |
| Octal (base 8) | 122316 |
| Hexadecimal (base 16) | A4CE |
| Base 3 | 2010212121 |
| As time | 42190 seconds = 11 h 43 min 10 s |
Is 42190 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42190 ÷ 2 = 21095) | 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 | Yes (42190 ÷ 5 = 8438) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42190 ÷ 10 = 4219) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 42190 a prime number?
No. 42190 = 2 × 5 × 4219, so it is divisible by 2.
What are the factors of 42190?
1, 2, 5, 10, 4219, 8438, 21095, 42190.
What is 42190 in binary?
1010010011001110 (hexadecimal A4CE, octal 122316).
What is the square root of 42190?
About 205.4020.
Is 42190 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42190?
It is a composite number with 8 divisors.