The number 18348
18348 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 139. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 139, 278, 417, 556 … 18348.
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How to work it out
- 1
18348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18348 is composite. Its prime factorisation is
- 3
The divisors add up to 47040; without 18348 itself that is 28692, so 18348 is abundant (28692 is more than 18348). Euler's totient φ(18348) = 5520 numbers up to 18348 share no factor with it.
- 4
The digits of 18348 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18348 = 2^{2} \times 3 \times 11 \times 139 \]18348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 47040 |
| Euler totient φ(n) | 5520 |
| Square | 336649104 |
| Cube | 6176837760192 |
| Square root | 135.454790 (= 2√4587) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.8348 × |
18348 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and forty-eight |
| Binary (base 2) | 100011110101100 |
| Octal (base 8) | 43654 |
| Hexadecimal (base 16) | 47AC |
| Base 3 | 221011120 |
| As time | 18348 seconds = 5 h 5 min 48 s |
Is 18348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18348 ÷ 2 = 9174) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18348 ÷ 3 = 6116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18348 ÷ 4 = 4587) | 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 | Yes (18348 ÷ 6 = 3058) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (18348 ÷ 11 = 1668) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18348 ÷ 12 = 1529) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18348 a prime number?
No. 18348 = × 3 × 11 × 139, so it is divisible by 2.
What are the factors of 18348?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 139, 278, 417, 556, 834, 1529, 1668, 3058, 4587, 6116, 9174, 18348.
What is 18348 in binary?
100011110101100 (hexadecimal 47AC, octal 43654).
What is the square root of 18348?
About 135.4548, exactly 2√4587.
Is 18348 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 18348?
It is a composite number with 24 divisors.