The number 42096
42096 is a composite number with 20 divisors. Its prime factorisation is × 3 × 877. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 877, 1754, 2631, 3508, 5262, 7016 … 42096.
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How to work it out
- 1
42096 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42096 is composite. Its prime factorisation is
- 3
The divisors add up to 108872; without 42096 itself that is 66776, so 42096 is abundant (66776 is more than 42096). Euler's totient φ(42096) = 14016 numbers up to 42096 share no factor with it.
- 4
The digits of 42096 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42096 = 2^{4} \times 3 \times 877 \]42096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 108872 |
| Euler totient φ(n) | 14016 |
| Square | 1772073216 |
| Cube | 74597194100736 |
| Square root | 205.173098 (= 4√2631) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2096 × |
42096 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and ninety-six |
| Binary (base 2) | 1010010001110000 |
| Octal (base 8) | 122160 |
| Hexadecimal (base 16) | A470 |
| Base 3 | 2010202010 |
| As time | 42096 seconds = 11 h 41 min 36 s |
Is 42096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42096 ÷ 2 = 21048) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42096 ÷ 3 = 14032) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42096 ÷ 4 = 10524) | 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 | Yes (42096 ÷ 6 = 7016) | 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 | Yes (42096 ÷ 8 = 5262) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42096 ÷ 12 = 3508) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42096 a prime number?
No. 42096 = × 3 × 877, so it is divisible by 2.
What are the factors of 42096?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 877, 1754, 2631, 3508, 5262, 7016, 10524, 14032, 21048, 42096.
What is 42096 in binary?
1010010001110000 (hexadecimal A470, octal 122160).
What is the square root of 42096?
About 205.1731, exactly 4√2631.
Is 42096 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42096?
It is a composite number with 20 divisors.