The number 42328
42328 is a composite number with 32 divisors. Its prime factorisation is × 11 × 13 × 37. Divisors (32): 1, 2, 4, 8, 11, 13, 22, 26, 37, 44, 52, 74, 88, 104, 143, 148 … 42328.
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How to work it out
- 1
What is special about 42328: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42328 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 42328 itself that is 53432, so 42328 is abundant (53432 is more than 42328). Euler's totient φ(42328) = 17280 numbers up to 42328 share no factor with it.
- 4
The digits of 42328 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42328 = 2^{3} \times 11 \times 13 \times 37 \]42328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 17280 |
| Square | 1791659584 |
| Cube | 75837366871552 |
| Square root | 205.737697 (= 2√10582) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2328 × |
42328 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and twenty-eight |
| Binary (base 2) | 1010010101011000 |
| Octal (base 8) | 122530 |
| Hexadecimal (base 16) | A558 |
| Base 3 | 2011001201 |
| As time | 42328 seconds = 11 h 45 min 28 s |
Is 42328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42328 ÷ 2 = 21164) | 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 | Yes (42328 ÷ 4 = 10582) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | Yes (42328 ÷ 8 = 5291) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42328 ÷ 11 = 3848) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42328 a prime number?
No. 42328 = × 11 × 13 × 37, so it is divisible by 2.
What are the factors of 42328?
1, 2, 4, 8, 11, 13, 22, 26, 37, 44, 52, 74, 88, 104, 143, 148, 286, 296, 407, 481, 572, 814, 962, 1144, 1628, 1924, 3256, 3848, 5291, 10582, 21164, 42328.
What is 42328 in binary?
1010010101011000 (hexadecimal A558, octal 122530).
What is the square root of 42328?
About 205.7377, exactly 2√10582.
Is 42328 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42328?
42328 is a happy number: repeatedly adding the squares of its digits reaches 1.