The number 16794
16794 is a composite number with 16 divisors. Its prime factorisation is 2 × × 311. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 311, 622, 933, 1866, 2799, 5598, 8397, 16794.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16794: a Harshad number: divisible by its digit sum 27.
- 2
16794 is composite. Its prime factorisation is
- 3
The divisors add up to 37440; without 16794 itself that is 20646, so 16794 is abundant (20646 is more than 16794). Euler's totient φ(16794) = 5580 numbers up to 16794 share no factor with it.
- 4
The digits of 16794 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16794 = 2 \times 3^{3} \times 311 \]16794 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 37440 |
| Euler totient φ(n) | 5580 |
| Square | 282038436 |
| Cube | 4736553494184 |
| Square root | 129.591666 (= 3√1866) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6794 × |
16794 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and ninety-four |
| Binary (base 2) | 100000110011010 |
| Octal (base 8) | 40632 |
| Hexadecimal (base 16) | 419A |
| Base 3 | 212001000 |
| As time | 16794 seconds = 4 h 39 min 54 s |
Is 16794 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16794 ÷ 2 = 8397) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16794 ÷ 3 = 5598) | 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 (16794 ÷ 6 = 2799) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16794 ÷ 9 = 1866) | 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 8) | 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 16794 a prime number?
No. 16794 = 2 × × 311, so it is divisible by 2.
What are the factors of 16794?
1, 2, 3, 6, 9, 18, 27, 54, 311, 622, 933, 1866, 2799, 5598, 8397, 16794.
What is 16794 in binary?
100000110011010 (hexadecimal 419A, octal 40632).
What is the square root of 16794?
About 129.5917, exactly 3√1866.
Is 16794 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16794?
16794 is a Harshad number: divisible by its digit sum 27.