The number 7042
7042 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 503. Divisors (8): 1, 2, 7, 14, 503, 1006, 3521, 7042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7042 is composite. Its prime factorisation is
- 3
The divisors add up to 12096; without 7042 itself that is 5054, so 7042 is deficient (5054 is less than 7042). Euler's totient φ(7042) = 3012 numbers up to 7042 share no factor with it.
- 4
The digits of 7042 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7042 = 2 \times 7 \times 503 \]
7042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12096 |
| Euler totient φ(n) | 3012 |
| Square | 49589764 |
| Cube | 349211118088 |
| Square root | 83.916625 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 106 |
| Scientific notation | 7.042 × |
7042 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and forty-two |
| Binary (base 2) | 1101110000010 |
| Octal (base 8) | 15602 |
| Hexadecimal (base 16) | 1B82 |
| Base 3 | 100122211 |
| As time | 7042 seconds = 1 h 57 min 22 s |
Is 7042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7042 ÷ 2 = 3521) | 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 | Yes (7042 ÷ 7 = 1006) | 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 4) | 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 2) | 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 7042 a prime number?
No. 7042 = 2 × 7 × 503, so it is divisible by 2.
What are the factors of 7042?
1, 2, 7, 14, 503, 1006, 3521, 7042.
What is 7042 in binary?
1101110000010 (hexadecimal 1B82, octal 15602).
What is the square root of 7042?
About 83.9166.
Is 7042 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 7042?
It is a composite number with 8 divisors.