The number 4042
4042 is a composite number with 8 divisors. Its prime factorisation is 2 × 43 × 47. Divisors (8): 1, 2, 43, 47, 86, 94, 2021, 4042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4042 is composite. Its prime factorisation is
- 3
The divisors add up to 6336; without 4042 itself that is 2294, so 4042 is deficient (2294 is less than 4042). Euler's totient φ(4042) = 1932 numbers up to 4042 share no factor with it.
- 4
The digits of 4042 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4042 = 2 \times 43 \times 47 \]
4042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6336 |
| Euler totient φ(n) | 1932 |
| Square | 16337764 |
| Cube | 66037242088 |
| Square root | 63.576725 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.042 × |
4042 in other forms
| Form | Value |
|---|---|
| In words | four thousand and forty-two |
| Binary (base 2) | 111111001010 |
| Octal (base 8) | 7712 |
| Hexadecimal (base 16) | FCA |
| Base 3 | 12112201 |
| As time | 4042 seconds = 1 h 7 min 22 s |
Is 4042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4042 ÷ 2 = 2021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4042 a prime number?
No. 4042 = 2 × 43 × 47, so it is divisible by 2.
What are the factors of 4042?
1, 2, 43, 47, 86, 94, 2021, 4042.
What is 4042 in binary?
111111001010 (hexadecimal FCA, octal 7712).
What is the square root of 4042?
About 63.5767.
Is 4042 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4042?
It is a composite number with 8 divisors.