The number 16791
16791 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 193. Divisors (8): 1, 3, 29, 87, 193, 579, 5597, 16791.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16791 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16791 is composite. Its prime factorisation is
- 3
The divisors add up to 23280; without 16791 itself that is 6489, so 16791 is deficient (6489 is less than 16791). Euler's totient φ(16791) = 10752 numbers up to 16791 share no factor with it.
- 4
The digits of 16791 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16791 = 3 \times 29 \times 193 \]
16791 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23280 |
| Euler totient φ(n) | 10752 |
| Square | 281937681 |
| Cube | 4734015601671 |
| Square root | 129.580091 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6791 × |
16791 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and ninety-one |
| Binary (base 2) | 100000110010111 |
| Octal (base 8) | 40627 |
| Hexadecimal (base 16) | 4197 |
| Base 3 | 212000220 |
| As time | 16791 seconds = 4 h 39 min 51 s |
Is 16791 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16791 ÷ 3 = 5597) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16791 a prime number?
No. 16791 = 3 × 29 × 193, so it is divisible by 3.
What are the factors of 16791?
1, 3, 29, 87, 193, 579, 5597, 16791.
What is 16791 in binary?
100000110010111 (hexadecimal 4197, octal 40627).
What is the square root of 16791?
About 129.5801.
Is 16791 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16791?
It is a composite number with 8 divisors.