The number 18242
18242 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 1303. Divisors (8): 1, 2, 7, 14, 1303, 2606, 9121, 18242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18242 is composite. Its prime factorisation is
- 3
The divisors add up to 31296; without 18242 itself that is 13054, so 18242 is deficient (13054 is less than 18242). Euler's totient φ(18242) = 7812 numbers up to 18242 share no factor with it.
- 4
The digits of 18242 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18242 = 2 \times 7 \times 1303 \]
18242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31296 |
| Euler totient φ(n) | 7812 |
| Square | 332770564 |
| Cube | 6070400628488 |
| Square root | 135.062948 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8242 × |
18242 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand two hundred and forty-two |
| Binary (base 2) | 100011101000010 |
| Octal (base 8) | 43502 |
| Hexadecimal (base 16) | 4742 |
| Base 3 | 221000122 |
| As time | 18242 seconds = 5 h 4 min 2 s |
Is 18242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18242 ÷ 2 = 9121) | 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 | Yes (18242 ÷ 7 = 2606) | 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 8) | 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 4) | 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 18242 a prime number?
No. 18242 = 2 × 7 × 1303, so it is divisible by 2.
What are the factors of 18242?
1, 2, 7, 14, 1303, 2606, 9121, 18242.
What is 18242 in binary?
100011101000010 (hexadecimal 4742, octal 43502).
What is the square root of 18242?
About 135.0629.
Is 18242 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 18242?
It is a composite number with 8 divisors.