The number 42182
42182 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 23 × 131. Divisors (16): 1, 2, 7, 14, 23, 46, 131, 161, 262, 322, 917, 1834, 3013, 6026, 21091, 42182.
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How to work it out
- 1
42182 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42182 is composite. Its prime factorisation is
- 3
The divisors add up to 76032; without 42182 itself that is 33850, so 42182 is deficient (33850 is less than 42182). Euler's totient φ(42182) = 17160 numbers up to 42182 share no factor with it.
- 4
The digits of 42182 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42182 = 2 \times 7 \times 23 \times 131 \]
42182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76032 |
| Euler totient φ(n) | 17160 |
| Square | 1779321124 |
| Cube | 75055323652568 |
| Square root | 205.382570 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2182 × |
42182 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and eighty-two |
| Binary (base 2) | 1010010011000110 |
| Octal (base 8) | 122306 |
| Hexadecimal (base 16) | A4C6 |
| Base 3 | 2010212022 |
| As time | 42182 seconds = 11 h 43 min 2 s |
Is 42182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42182 ÷ 2 = 21091) | 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 2) | 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 | Yes (42182 ÷ 7 = 6026) | 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 8) | 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 8) | 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 42182 a prime number?
No. 42182 = 2 × 7 × 23 × 131, so it is divisible by 2.
What are the factors of 42182?
1, 2, 7, 14, 23, 46, 131, 161, 262, 322, 917, 1834, 3013, 6026, 21091, 42182.
What is 42182 in binary?
1010010011000110 (hexadecimal A4C6, octal 122306).
What is the square root of 42182?
About 205.3826.
Is 42182 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42182?
It is a composite number with 16 divisors.