The number 9042
9042 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 137. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9042 is composite. Its prime factorisation is
- 3
The divisors add up to 19872; without 9042 itself that is 10830, so 9042 is abundant (10830 is more than 9042). Euler's totient φ(9042) = 2720 numbers up to 9042 share no factor with it.
- 4
The digits of 9042 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9042 = 2 \times 3 \times 11 \times 137 \]
9042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 19872 |
| Euler totient φ(n) | 2720 |
| Square | 81757764 |
| Cube | 739253702088 |
| Square root | 95.089432 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 184 |
| Scientific notation | 9.042 × |
9042 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and forty-two |
| Binary (base 2) | 10001101010010 |
| Octal (base 8) | 21522 |
| Hexadecimal (base 16) | 2352 |
| Base 3 | 110101220 |
| As time | 9042 seconds = 2 h 30 min 42 s |
Is 9042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9042 ÷ 2 = 4521) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9042 ÷ 3 = 3014) | 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 (9042 ÷ 6 = 1507) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 (9042 ÷ 11 = 822) | 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 9042 a prime number?
No. 9042 = 2 × 3 × 11 × 137, so it is divisible by 2.
What are the factors of 9042?
1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042.
What is 9042 in binary?
10001101010010 (hexadecimal 2352, octal 21522).
What is the square root of 9042?
About 95.0894.
Is 9042 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 9042?
It is a composite number with 16 divisors.