The number 42852
42852 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3571. Divisors (12): 1, 2, 3, 4, 6, 12, 3571, 7142, 10713, 14284, 21426, 42852.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42852 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42852 is composite. Its prime factorisation is
- 3
The divisors add up to 100016; without 42852 itself that is 57164, so 42852 is abundant (57164 is more than 42852). Euler's totient φ(42852) = 14280 numbers up to 42852 share no factor with it.
- 4
The digits of 42852 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 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42852 = 2^{2} \times 3 \times 3571 \]42852 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100016 |
| Euler totient φ(n) | 14280 |
| Square | 1836293904 |
| Cube | 78688866374208 |
| Square root | 207.007246 (= 2√10713) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2852 × |
42852 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and fifty-two |
| Binary (base 2) | 1010011101100100 |
| Octal (base 8) | 123544 |
| Hexadecimal (base 16) | A764 |
| Base 3 | 2011210010 |
| As time | 42852 seconds = 11 h 54 min 12 s |
Is 42852 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42852 ÷ 2 = 21426) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42852 ÷ 3 = 14284) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42852 ÷ 4 = 10713) | 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 | Yes (42852 ÷ 6 = 7142) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42852 ÷ 12 = 3571) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42852 a prime number?
No. 42852 = × 3 × 3571, so it is divisible by 2.
What are the factors of 42852?
1, 2, 3, 4, 6, 12, 3571, 7142, 10713, 14284, 21426, 42852.
What is 42852 in binary?
1010011101100100 (hexadecimal A764, octal 123544).
What is the square root of 42852?
About 207.0072, exactly 2√10713.
Is 42852 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42852?
It is a composite number with 12 divisors.