The number 1788
1788 is a composite number with 12 divisors. Its prime factorisation is × 3 × 149. Divisors (12): 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1788 is composite. Its prime factorisation is
- 3
The divisors add up to 4200; without 1788 itself that is 2412, so 1788 is abundant (2412 is more than 1788). Euler's totient φ(1788) = 592 numbers up to 1788 share no factor with it.
- 4
The digits of 1788 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1788 = 2^{2} \times 3 \times 149 \]1788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4200 |
| Euler totient φ(n) | 592 |
| Square | 3196944 |
| Cube | 5716135872 |
| Square root | 42.284749 (= 2√447) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.788 × |
1788 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and eighty-eight |
| Roman numerals | MDCCLXXXVIII |
| Binary (base 2) | 11011111100 |
| Octal (base 8) | 3374 |
| Hexadecimal (base 16) | 6FC |
| Base 3 | 2110020 |
| As time | 1788 seconds = 29 min 48 s |
Is 1788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1788 ÷ 2 = 894) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1788 ÷ 3 = 596) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1788 ÷ 4 = 447) | 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 (1788 ÷ 6 = 298) | 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 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1788 ÷ 12 = 149) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1788 a prime number?
No. 1788 = × 3 × 149, so it is divisible by 2.
What are the factors of 1788?
1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788.
What is 1788 in binary?
11011111100 (hexadecimal 6FC, octal 3374).
What is the square root of 1788?
About 42.2847, exactly 2√447.
What is 1788 in Roman numerals?
MDCCLXXXVIII.
Is 1788 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 1788?
It is a composite number with 12 divisors.