The number 18003
18003 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 353. Divisors (8): 1, 3, 17, 51, 353, 1059, 6001, 18003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18003 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18003 is composite. Its prime factorisation is
- 3
The divisors add up to 25488; without 18003 itself that is 7485, so 18003 is deficient (7485 is less than 18003). Euler's totient φ(18003) = 11264 numbers up to 18003 share no factor with it.
- 4
The digits of 18003 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18003 = 3 \times 17 \times 353 \]
18003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25488 |
| Euler totient φ(n) | 11264 |
| Square | 324108009 |
| Cube | 5834916486027 |
| Square root | 134.175259 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.8003 × |
18003 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and three |
| Binary (base 2) | 100011001010011 |
| Octal (base 8) | 43123 |
| Hexadecimal (base 16) | 4653 |
| Base 3 | 220200210 |
| As time | 18003 seconds = 5 h 0 min 3 s |
Is 18003 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18003 ÷ 3 = 6001) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18003 a prime number?
No. 18003 = 3 × 17 × 353, so it is divisible by 3.
What are the factors of 18003?
1, 3, 17, 51, 353, 1059, 6001, 18003.
What is 18003 in binary?
100011001010011 (hexadecimal 4653, octal 43123).
What is the square root of 18003?
About 134.1753.
Is 18003 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 18003?
It is a composite number with 8 divisors.