The number 42492
42492 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3541. Divisors (12): 1, 2, 3, 4, 6, 12, 3541, 7082, 10623, 14164, 21246, 42492.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42492 is composite. Its prime factorisation is
- 3
The divisors add up to 99176; without 42492 itself that is 56684, so 42492 is abundant (56684 is more than 42492). Euler's totient φ(42492) = 14160 numbers up to 42492 share no factor with it.
- 4
The digits of 42492 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42492 = 2^{2} \times 3 \times 3541 \]42492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99176 |
| Euler totient φ(n) | 14160 |
| Square | 1805570064 |
| Cube | 76722283159488 |
| Square root | 206.135878 (= 2√10623) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2492 × |
42492 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and ninety-two |
| Binary (base 2) | 1010010111111100 |
| Octal (base 8) | 122774 |
| Hexadecimal (base 16) | A5FC |
| Base 3 | 2011021210 |
| As time | 42492 seconds = 11 h 48 min 12 s |
Is 42492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42492 ÷ 2 = 21246) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42492 ÷ 3 = 14164) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42492 ÷ 4 = 10623) | 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 (42492 ÷ 6 = 7082) | 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 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42492 ÷ 12 = 3541) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42492 a prime number?
No. 42492 = × 3 × 3541, so it is divisible by 2.
What are the factors of 42492?
1, 2, 3, 4, 6, 12, 3541, 7082, 10623, 14164, 21246, 42492.
What is 42492 in binary?
1010010111111100 (hexadecimal A5FC, octal 122774).
What is the square root of 42492?
About 206.1359, exactly 2√10623.
Is 42492 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42492?
It is a composite number with 12 divisors.