The number 42142
42142 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 1109. Divisors (8): 1, 2, 19, 38, 1109, 2218, 21071, 42142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42142 is composite. Its prime factorisation is
- 3
The divisors add up to 66600; without 42142 itself that is 24458, so 42142 is deficient (24458 is less than 42142). Euler's totient φ(42142) = 19944 numbers up to 42142 share no factor with it.
- 4
The digits of 42142 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
\[ 42142 = 2 \times 19 \times 1109 \]
42142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66600 |
| Euler totient φ(n) | 19944 |
| Square | 1775948164 |
| Cube | 74842007527288 |
| Square root | 205.285168 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2142 × |
42142 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and forty-two |
| Binary (base 2) | 1010010010011110 |
| Octal (base 8) | 122236 |
| Hexadecimal (base 16) | A49E |
| Base 3 | 2010210211 |
| As time | 42142 seconds = 11 h 42 min 22 s |
Is 42142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42142 ÷ 2 = 21071) | 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 2) | 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 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 42142 a prime number?
No. 42142 = 2 × 19 × 1109, so it is divisible by 2.
What are the factors of 42142?
1, 2, 19, 38, 1109, 2218, 21071, 42142.
What is 42142 in binary?
1010010010011110 (hexadecimal A49E, octal 122236).
What is the square root of 42142?
About 205.2852.
Is 42142 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42142?
It is a composite number with 8 divisors.