The number 42528
42528 is a composite number with 24 divisors. Its prime factorisation is × 3 × 443. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 443, 886, 1329, 1772 … 42528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42528 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42528 is composite. Its prime factorisation is
- 3
The divisors add up to 111888; without 42528 itself that is 69360, so 42528 is abundant (69360 is more than 42528). Euler's totient φ(42528) = 14144 numbers up to 42528 share no factor with it.
- 4
The digits of 42528 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42528 = 2^{5} \times 3 \times 443 \]42528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111888 |
| Euler totient φ(n) | 14144 |
| Square | 1808630784 |
| Cube | 76917449981952 |
| Square root | 206.223180 (= 4√2658) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2528 × |
42528 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and twenty-eight |
| Binary (base 2) | 1010011000100000 |
| Octal (base 8) | 123040 |
| Hexadecimal (base 16) | A620 |
| Base 3 | 2011100010 |
| As time | 42528 seconds = 11 h 48 min 48 s |
Is 42528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42528 ÷ 2 = 21264) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42528 ÷ 3 = 14176) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42528 ÷ 4 = 10632) | 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 | Yes (42528 ÷ 6 = 7088) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (42528 ÷ 8 = 5316) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42528 ÷ 12 = 3544) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42528 a prime number?
No. 42528 = × 3 × 443, so it is divisible by 2.
What are the factors of 42528?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 443, 886, 1329, 1772, 2658, 3544, 5316, 7088, 10632, 14176, 21264, 42528.
What is 42528 in binary?
1010011000100000 (hexadecimal A620, octal 123040).
What is the square root of 42528?
About 206.2232, exactly 4√2658.
Is 42528 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42528?
It is a composite number with 24 divisors.