The number 18042
18042 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 31 × 97. Divisors (16): 1, 2, 3, 6, 31, 62, 93, 97, 186, 194, 291, 582, 3007, 6014, 9021, 18042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18042 is composite. Its prime factorisation is
- 3
The divisors add up to 37632; without 18042 itself that is 19590, so 18042 is abundant (19590 is more than 18042). Euler's totient φ(18042) = 5760 numbers up to 18042 share no factor with it.
- 4
The digits of 18042 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 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18042 = 2 \times 3 \times 31 \times 97 \]
18042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 37632 |
| Euler totient φ(n) | 5760 |
| Square | 325513764 |
| Cube | 5872919330088 |
| Square root | 134.320512 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.8042 × |
18042 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and forty-two |
| Binary (base 2) | 100011001111010 |
| Octal (base 8) | 43172 |
| Hexadecimal (base 16) | 467A |
| Base 3 | 220202020 |
| As time | 18042 seconds = 5 h 0 min 42 s |
Is 18042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18042 ÷ 2 = 9021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18042 ÷ 3 = 6014) | 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 (18042 ÷ 6 = 3007) | 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 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 | No (remainder 2) | 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 18042 a prime number?
No. 18042 = 2 × 3 × 31 × 97, so it is divisible by 2.
What are the factors of 18042?
1, 2, 3, 6, 31, 62, 93, 97, 186, 194, 291, 582, 3007, 6014, 9021, 18042.
What is 18042 in binary?
100011001111010 (hexadecimal 467A, octal 43172).
What is the square root of 18042?
About 134.3205.
Is 18042 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 18042?
It is a composite number with 16 divisors.