The number 18684
18684 is a composite number with 24 divisors. Its prime factorisation is × × 173. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 173, 346, 519, 692 … 18684.
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How to work it out
- 1
What is special about 18684: a Harshad number: divisible by its digit sum 27.
- 2
18684 is composite. Its prime factorisation is
- 3
The divisors add up to 48720; without 18684 itself that is 30036, so 18684 is abundant (30036 is more than 18684). Euler's totient φ(18684) = 6192 numbers up to 18684 share no factor with it.
- 4
The digits of 18684 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 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18684 = 2^{2} \times 3^{3} \times 173 \]18684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 48720 |
| Euler totient φ(n) | 6192 |
| Square | 349091856 |
| Cube | 6522432237504 |
| Square root | 136.689429 (= 6√519) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8684 × |
18684 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand six hundred and eighty-four |
| Binary (base 2) | 100100011111100 |
| Octal (base 8) | 44374 |
| Hexadecimal (base 16) | 48FC |
| Base 3 | 221122000 |
| As time | 18684 seconds = 5 h 11 min 24 s |
Is 18684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18684 ÷ 2 = 9342) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18684 ÷ 3 = 6228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18684 ÷ 4 = 4671) | 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 | Yes (18684 ÷ 6 = 3114) | 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 | Yes (18684 ÷ 9 = 2076) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18684 ÷ 12 = 1557) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18684 a prime number?
No. 18684 = × × 173, so it is divisible by 2.
What are the factors of 18684?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 4671, 6228, 9342, 18684.
What is 18684 in binary?
100100011111100 (hexadecimal 48FC, octal 44374).
What is the square root of 18684?
About 136.6894, exactly 6√519.
Is 18684 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 18684?
18684 is a Harshad number: divisible by its digit sum 27.