The number 18073
18073 is a composite number with 8 divisors. Its prime factorisation is 11 × 31 × 53. Divisors (8): 1, 11, 31, 53, 341, 583, 1643, 18073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18073 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18073 is composite. Its prime factorisation is
- 3
The divisors add up to 20736; without 18073 itself that is 2663, so 18073 is deficient (2663 is less than 18073). Euler's totient φ(18073) = 15600 numbers up to 18073 share no factor with it.
- 4
The digits of 18073 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18073 = 11 \times 31 \times 53 \]
18073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20736 |
| Euler totient φ(n) | 15600 |
| Square | 326633329 |
| Cube | 5903244155017 |
| Square root | 134.435858 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8073 × |
18073 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and seventy-three |
| Binary (base 2) | 100011010011001 |
| Octal (base 8) | 43231 |
| Hexadecimal (base 16) | 4699 |
| Base 3 | 220210101 |
| As time | 18073 seconds = 5 h 1 min 13 s |
Is 18073 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (18073 ÷ 11 = 1643) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18073 a prime number?
No. 18073 = 11 × 31 × 53, so it is divisible by 11.
What are the factors of 18073?
1, 11, 31, 53, 341, 583, 1643, 18073.
What is 18073 in binary?
100011010011001 (hexadecimal 4699, octal 43231).
What is the square root of 18073?
About 134.4359.
Is 18073 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 18073?
It is a composite number with 8 divisors.