The number 42042
42042 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 11 × 13. Divisors (48): 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 49, 66 … 42042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42042 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 42042 itself that is 72870, so 42042 is abundant (72870 is more than 42042). Euler's totient φ(42042) = 10080 numbers up to 42042 share no factor with it.
- 4
The digits of 42042 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42042 = 2 \times 3 \times 7^{2} \times 11 \times 13 \]42042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 10080 |
| Square | 1767529764 |
| Cube | 74310486338088 |
| Square root | 205.041459 (= 7√858) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2042 × |
42042 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and forty-two |
| Binary (base 2) | 1010010000111010 |
| Octal (base 8) | 122072 |
| Hexadecimal (base 16) | A43A |
| Base 3 | 2010200010 |
| As time | 42042 seconds = 11 h 40 min 42 s |
Is 42042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42042 ÷ 2 = 21021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42042 ÷ 3 = 14014) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (42042 ÷ 6 = 7007) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42042 ÷ 7 = 6006) | 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 2) | 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 | Yes (42042 ÷ 11 = 3822) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42042 a prime number?
No. 42042 = 2 × 3 × × 11 × 13, so it is divisible by 2.
What are the factors of 42042?
1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 49, 66, 77, 78, 91, 98, 143, 147, 154, 182, 231, 273, 286, 294, 429, 462, 539, 546, 637, 858, 1001, 1078, 1274, 1617, 1911, 2002, 3003, 3234, 3822, 6006, 7007, 14014, 21021, 42042.
What is 42042 in binary?
1010010000111010 (hexadecimal A43A, octal 122072).
What is the square root of 42042?
About 205.0415, exactly 7√858.
Is 42042 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42042?
It is a composite number with 48 divisors.