The number 42828
42828 is a composite number with 24 divisors. Its prime factorisation is × 3 × 43 × 83. Divisors (24): 1, 2, 3, 4, 6, 12, 43, 83, 86, 129, 166, 172, 249, 258, 332, 498 … 42828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42828 is composite. Its prime factorisation is
- 3
The divisors add up to 103488; without 42828 itself that is 60660, so 42828 is abundant (60660 is more than 42828). Euler's totient φ(42828) = 13776 numbers up to 42828 share no factor with it.
- 4
The digits of 42828 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42828 = 2^{2} \times 3 \times 43 \times 83 \]42828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 103488 |
| Euler totient φ(n) | 13776 |
| Square | 1834237584 |
| Cube | 78556727247552 |
| Square root | 206.949269 (= 2√10707) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2828 × |
42828 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and twenty-eight |
| Binary (base 2) | 1010011101001100 |
| Octal (base 8) | 123514 |
| Hexadecimal (base 16) | A74C |
| Base 3 | 2011202020 |
| As time | 42828 seconds = 11 h 53 min 48 s |
Is 42828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42828 ÷ 2 = 21414) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42828 ÷ 3 = 14276) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42828 ÷ 4 = 10707) | 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 (42828 ÷ 6 = 7138) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42828 ÷ 12 = 3569) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42828 a prime number?
No. 42828 = × 3 × 43 × 83, so it is divisible by 2.
What are the factors of 42828?
1, 2, 3, 4, 6, 12, 43, 83, 86, 129, 166, 172, 249, 258, 332, 498, 516, 996, 3569, 7138, 10707, 14276, 21414, 42828.
What is 42828 in binary?
1010011101001100 (hexadecimal A74C, octal 123514).
What is the square root of 42828?
About 206.9493, exactly 2√10707.
Is 42828 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42828?
It is a composite number with 24 divisors.