The number 42146
42146 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1621. Divisors (8): 1, 2, 13, 26, 1621, 3242, 21073, 42146.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42146 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42146 is composite. Its prime factorisation is
- 3
The divisors add up to 68124; without 42146 itself that is 25978, so 42146 is deficient (25978 is less than 42146). Euler's totient φ(42146) = 19440 numbers up to 42146 share no factor with it.
- 4
The digits of 42146 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42146 = 2 \times 13 \times 1621 \]
42146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 68124 |
| Euler totient φ(n) | 19440 |
| Square | 1776285316 |
| Cube | 74863320928136 |
| Square root | 205.294910 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2146 × |
42146 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and forty-six |
| Binary (base 2) | 1010010010100010 |
| Octal (base 8) | 122242 |
| Hexadecimal (base 16) | A4A2 |
| Base 3 | 2010210222 |
| As time | 42146 seconds = 11 h 42 min 26 s |
Is 42146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42146 ÷ 2 = 21073) | 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 1) | 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 6) | 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 8) | 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 5) | 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 42146 a prime number?
No. 42146 = 2 × 13 × 1621, so it is divisible by 2.
What are the factors of 42146?
1, 2, 13, 26, 1621, 3242, 21073, 42146.
What is 42146 in binary?
1010010010100010 (hexadecimal A4A2, octal 122242).
What is the square root of 42146?
About 205.2949.
Is 42146 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42146?
It is a composite number with 8 divisors.