The number 16788
16788 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1399. Divisors (12): 1, 2, 3, 4, 6, 12, 1399, 2798, 4197, 5596, 8394, 16788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16788 is composite. Its prime factorisation is
- 3
The divisors add up to 39200; without 16788 itself that is 22412, so 16788 is abundant (22412 is more than 16788). Euler's totient φ(16788) = 5592 numbers up to 16788 share no factor with it.
- 4
The digits of 16788 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16788 = 2^{2} \times 3 \times 1399 \]16788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 39200 |
| Euler totient φ(n) | 5592 |
| Square | 281836944 |
| Cube | 4731478615872 |
| Square root | 129.568515 (= 2√4197) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6788 × |
16788 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and eighty-eight |
| Binary (base 2) | 100000110010100 |
| Octal (base 8) | 40624 |
| Hexadecimal (base 16) | 4194 |
| Base 3 | 212000210 |
| As time | 16788 seconds = 4 h 39 min 48 s |
Is 16788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16788 ÷ 2 = 8394) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16788 ÷ 3 = 5596) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16788 ÷ 4 = 4197) | 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 (16788 ÷ 6 = 2798) | 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 4) | 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 (16788 ÷ 12 = 1399) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16788 a prime number?
No. 16788 = × 3 × 1399, so it is divisible by 2.
What are the factors of 16788?
1, 2, 3, 4, 6, 12, 1399, 2798, 4197, 5596, 8394, 16788.
What is 16788 in binary?
100000110010100 (hexadecimal 4194, octal 40624).
What is the square root of 16788?
About 129.5685, exactly 2√4197.
Is 16788 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 16788?
It is a composite number with 12 divisors.