The number 42126
42126 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 17 × 59. Divisors (32): 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 59, 102, 118, 119, 177 … 42126.
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How to work it out
- 1
42126 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42126 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 42126 itself that is 61554, so 42126 is abundant (61554 is more than 42126). Euler's totient φ(42126) = 11136 numbers up to 42126 share no factor with it.
- 4
The digits of 42126 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42126 = 2 \times 3 \times 7 \times 17 \times 59 \]
42126 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 11136 |
| Square | 1774599876 |
| Cube | 74756794376376 |
| Square root | 205.246194 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2126 × |
42126 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and twenty-six |
| Binary (base 2) | 1010010010001110 |
| Octal (base 8) | 122216 |
| Hexadecimal (base 16) | A48E |
| Base 3 | 2010210020 |
| As time | 42126 seconds = 11 h 42 min 6 s |
Is 42126 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42126 ÷ 2 = 21063) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42126 ÷ 3 = 14042) | 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 | Yes (42126 ÷ 6 = 7021) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42126 ÷ 7 = 6018) | 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 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42126 a prime number?
No. 42126 = 2 × 3 × 7 × 17 × 59, so it is divisible by 2.
What are the factors of 42126?
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 59, 102, 118, 119, 177, 238, 354, 357, 413, 714, 826, 1003, 1239, 2006, 2478, 3009, 6018, 7021, 14042, 21063, 42126.
What is 42126 in binary?
1010010010001110 (hexadecimal A48E, octal 122216).
What is the square root of 42126?
About 205.2462.
Is 42126 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42126?
It is a composite number with 32 divisors.