The number 18364
18364 is a composite number with 6 divisors. Its prime factorisation is × 4591. Divisors (6): 1, 2, 4, 4591, 9182, 18364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18364 is composite. Its prime factorisation is
- 3
The divisors add up to 32144; without 18364 itself that is 13780, so 18364 is deficient (13780 is less than 18364). Euler's totient φ(18364) = 9180 numbers up to 18364 share no factor with it.
- 4
The digits of 18364 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18364 = 2^{2} \times 4591 \]18364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 32144 |
| Euler totient φ(n) | 9180 |
| Square | 337236496 |
| Cube | 6193011012544 |
| Square root | 135.513837 (= 2√4591) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.8364 × |
18364 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and sixty-four |
| Binary (base 2) | 100011110111100 |
| Octal (base 8) | 43674 |
| Hexadecimal (base 16) | 47BC |
| Base 3 | 221012011 |
| As time | 18364 seconds = 5 h 6 min 4 s |
Is 18364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18364 ÷ 2 = 9182) | 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 | Yes (18364 ÷ 4 = 4591) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18364 a prime number?
No. 18364 = × 4591, so it is divisible by 2.
What are the factors of 18364?
1, 2, 4, 4591, 9182, 18364.
What is 18364 in binary?
100011110111100 (hexadecimal 47BC, octal 43674).
What is the square root of 18364?
About 135.5138, exactly 2√4591.
Is 18364 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 18364?
It is a composite number with 6 divisors.