The number 18396
18396 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 73. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 73 … 18396.
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How to work it out
- 1
18396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18396 is composite. Its prime factorisation is
- 3
The divisors add up to 53872; without 18396 itself that is 35476, so 18396 is abundant (35476 is more than 18396). Euler's totient φ(18396) = 5184 numbers up to 18396 share no factor with it.
- 4
The digits of 18396 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18396 = 2^{2} \times 3^{2} \times 7 \times 73 \]18396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 53872 |
| Euler totient φ(n) | 5184 |
| Square | 338412816 |
| Cube | 6225442163136 |
| Square root | 135.631855 (= 6√511) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.8396 × |
18396 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and ninety-six |
| Binary (base 2) | 100011111011100 |
| Octal (base 8) | 43734 |
| Hexadecimal (base 16) | 47DC |
| Base 3 | 221020100 |
| As time | 18396 seconds = 5 h 6 min 36 s |
Is 18396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18396 ÷ 2 = 9198) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18396 ÷ 3 = 6132) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18396 ÷ 4 = 4599) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18396 ÷ 6 = 3066) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18396 ÷ 7 = 2628) | 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 | Yes (18396 ÷ 9 = 2044) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | Yes (18396 ÷ 12 = 1533) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18396 a prime number?
No. 18396 = × × 7 × 73, so it is divisible by 2.
What are the factors of 18396?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 73, 84, 126, 146, 219, 252, 292, 438, 511, 657, 876, 1022, 1314, 1533, 2044, 2628, 3066, 4599, 6132, 9198, 18396.
What is 18396 in binary?
100011111011100 (hexadecimal 47DC, octal 43734).
What is the square root of 18396?
About 135.6319, exactly 6√511.
Is 18396 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 18396?
It is a composite number with 36 divisors.