The number 18768
18768 is a composite number with 40 divisors. Its prime factorisation is × 3 × 17 × 23. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 17, 23, 24, 34, 46, 48, 51, 68 … 18768.
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How to work it out
- 1
18768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18768 is composite. Its prime factorisation is
- 3
The divisors add up to 53568; without 18768 itself that is 34800, so 18768 is abundant (34800 is more than 18768). Euler's totient φ(18768) = 5632 numbers up to 18768 share no factor with it.
- 4
The digits of 18768 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18768 = 2^{4} \times 3 \times 17 \times 23 \]18768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 53568 |
| Euler totient φ(n) | 5632 |
| Square | 352237824 |
| Cube | 6610799480832 |
| Square root | 136.996350 (= 4√1173) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.8768 × |
18768 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred and sixty-eight |
| Binary (base 2) | 100100101010000 |
| Octal (base 8) | 44520 |
| Hexadecimal (base 16) | 4950 |
| Base 3 | 221202010 |
| As time | 18768 seconds = 5 h 12 min 48 s |
Is 18768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18768 ÷ 2 = 9384) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18768 ÷ 3 = 6256) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18768 ÷ 4 = 4692) | 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 (18768 ÷ 6 = 3128) | 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 | Yes (18768 ÷ 8 = 2346) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18768 ÷ 12 = 1564) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18768 a prime number?
No. 18768 = × 3 × 17 × 23, so it is divisible by 2.
What are the factors of 18768?
1, 2, 3, 4, 6, 8, 12, 16, 17, 23, 24, 34, 46, 48, 51, 68, 69, 92, 102, 136, 138, 184, 204, 272, 276, 368, 391, 408, 552, 782, 816, 1104, 1173, 1564, 2346, 3128, 4692, 6256, 9384, 18768.
What is 18768 in binary?
100100101010000 (hexadecimal 4950, octal 44520).
What is the square root of 18768?
About 136.9964, exactly 4√1173.
Is 18768 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 18768?
It is a composite number with 40 divisors.