The number 8042
8042 is a composite number with 4 divisors. Its prime factorisation is 2 × 4021. Divisors (4): 1, 2, 4021, 8042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8042: a semiprime: 2 × 4021, the product of two primes.
- 2
8042 is composite. Its prime factorisation is
- 3
The divisors add up to 12066; without 8042 itself that is 4024, so 8042 is deficient (4024 is less than 8042). Euler's totient φ(8042) = 4020 numbers up to 8042 share no factor with it.
- 4
The digits of 8042 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8042 = 2 \times 4021 \]
8042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12066 |
| Euler totient φ(n) | 4020 |
| Square | 64673764 |
| Cube | 520106410088 |
| Square root | 89.677199 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 70 |
| Scientific notation | 8.042 × |
8042 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and forty-two |
| Binary (base 2) | 1111101101010 |
| Octal (base 8) | 17552 |
| Hexadecimal (base 16) | 1F6A |
| Base 3 | 102000212 |
| As time | 8042 seconds = 2 h 14 min 2 s |
Is 8042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8042 ÷ 2 = 4021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8042 a prime number?
No. 8042 = 2 × 4021, so it is divisible by 2.
What are the factors of 8042?
1, 2, 4021, 8042.
What is 8042 in binary?
1111101101010 (hexadecimal 1F6A, octal 17552).
What is the square root of 8042?
About 89.6772.
Is 8042 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 8042?
8042 is a semiprime: 2 × 4021, the product of two primes.