The number 1794
1794 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 23. Divisors (16): 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897, 1794.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1794 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1794 is composite. Its prime factorisation is
- 3
The divisors add up to 4032; without 1794 itself that is 2238, so 1794 is abundant (2238 is more than 1794). Euler's totient φ(1794) = 528 numbers up to 1794 share no factor with it.
- 4
The digits of 1794 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1794 = 2 \times 3 \times 13 \times 23 \]
1794 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4032 |
| Euler totient φ(n) | 528 |
| Square | 3218436 |
| Cube | 5773874184 |
| Square root | 42.355637 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.794 × |
1794 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and ninety-four |
| Roman numerals | MDCCXCIV |
| Binary (base 2) | 11100000010 |
| Octal (base 8) | 3402 |
| Hexadecimal (base 16) | 702 |
| Base 3 | 2110110 |
| As time | 1794 seconds = 29 min 54 s |
Is 1794 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1794 ÷ 2 = 897) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1794 ÷ 3 = 598) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (1794 ÷ 6 = 299) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1794 a prime number?
No. 1794 = 2 × 3 × 13 × 23, so it is divisible by 2.
What are the factors of 1794?
1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897, 1794.
What is 1794 in binary?
11100000010 (hexadecimal 702, octal 3402).
What is the square root of 1794?
About 42.3556.
What is 1794 in Roman numerals?
MDCCXCIV.
Is 1794 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 1794?
It is a composite number with 16 divisors.