The number 42032
42032 is a composite number with 20 divisors. Its prime factorisation is × 37 × 71. Divisors (20): 1, 2, 4, 8, 16, 37, 71, 74, 142, 148, 284, 296, 568, 592, 1136, 2627 … 42032.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42032 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42032 is composite. Its prime factorisation is
- 3
The divisors add up to 84816; without 42032 itself that is 42784, so 42032 is abundant (42784 is more than 42032). Euler's totient φ(42032) = 20160 numbers up to 42032 share no factor with it.
- 4
The digits of 42032 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42032 = 2^{4} \times 37 \times 71 \]42032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 84816 |
| Euler totient φ(n) | 20160 |
| Square | 1766689024 |
| Cube | 74257473056768 |
| Square root | 205.017072 (= 4√2627) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2032 × |
42032 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and thirty-two |
| Binary (base 2) | 1010010000110000 |
| Octal (base 8) | 122060 |
| Hexadecimal (base 16) | A430 |
| Base 3 | 2010122202 |
| As time | 42032 seconds = 11 h 40 min 32 s |
Is 42032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42032 ÷ 2 = 21016) | 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 | Yes (42032 ÷ 4 = 10508) | 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 | No (remainder 4) | 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 (42032 ÷ 8 = 5254) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42032 a prime number?
No. 42032 = × 37 × 71, so it is divisible by 2.
What are the factors of 42032?
1, 2, 4, 8, 16, 37, 71, 74, 142, 148, 284, 296, 568, 592, 1136, 2627, 5254, 10508, 21016, 42032.
What is 42032 in binary?
1010010000110000 (hexadecimal A430, octal 122060).
What is the square root of 42032?
About 205.0171, exactly 4√2627.
Is 42032 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 42032?
It is a composite number with 20 divisors.