The number 18164
18164 is a composite number with 12 divisors. Its prime factorisation is × 19 × 239. Divisors (12): 1, 2, 4, 19, 38, 76, 239, 478, 956, 4541, 9082, 18164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18164 is composite. Its prime factorisation is
- 3
The divisors add up to 33600; without 18164 itself that is 15436, so 18164 is deficient (15436 is less than 18164). Euler's totient φ(18164) = 8568 numbers up to 18164 share no factor with it.
- 4
The digits of 18164 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18164 = 2^{2} \times 19 \times 239 \]18164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 33600 |
| Euler totient φ(n) | 8568 |
| Square | 329930896 |
| Cube | 5992864794944 |
| Square root | 134.773885 (= 2√4541) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.8164 × |
18164 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and sixty-four |
| Binary (base 2) | 100011011110100 |
| Octal (base 8) | 43364 |
| Hexadecimal (base 16) | 46F4 |
| Base 3 | 220220202 |
| As time | 18164 seconds = 5 h 2 min 44 s |
Is 18164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18164 ÷ 2 = 9082) | 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 | Yes (18164 ÷ 4 = 4541) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18164 a prime number?
No. 18164 = × 19 × 239, so it is divisible by 2.
What are the factors of 18164?
1, 2, 4, 19, 38, 76, 239, 478, 956, 4541, 9082, 18164.
What is 18164 in binary?
100011011110100 (hexadecimal 46F4, octal 43364).
What is the square root of 18164?
About 134.7739, exactly 2√4541.
Is 18164 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 18164?
It is a composite number with 12 divisors.