The number 16188
16188 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 71. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 57, 71, 76, 114, 142, 213, 228, 284 … 16188.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16188 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16188 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 16188 itself that is 24132, so 16188 is abundant (24132 is more than 16188). Euler's totient φ(16188) = 5040 numbers up to 16188 share no factor with it.
- 4
The digits of 16188 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16188 = 2^{2} \times 3 \times 19 \times 71 \]16188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 5040 |
| Square | 262051344 |
| Cube | 4242087156672 |
| Square root | 127.232071 (= 2√4047) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6188 × |
16188 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and eighty-eight |
| Binary (base 2) | 11111100111100 |
| Octal (base 8) | 37474 |
| Hexadecimal (base 16) | 3F3C |
| Base 3 | 211012120 |
| As time | 16188 seconds = 4 h 29 min 48 s |
Is 16188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16188 ÷ 2 = 8094) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16188 ÷ 3 = 5396) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16188 ÷ 4 = 4047) | 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 (16188 ÷ 6 = 2698) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16188 ÷ 12 = 1349) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16188 a prime number?
No. 16188 = × 3 × 19 × 71, so it is divisible by 2.
What are the factors of 16188?
1, 2, 3, 4, 6, 12, 19, 38, 57, 71, 76, 114, 142, 213, 228, 284, 426, 852, 1349, 2698, 4047, 5396, 8094, 16188.
What is 16188 in binary?
11111100111100 (hexadecimal 3F3C, octal 37474).
What is the square root of 16188?
About 127.2321, exactly 2√4047.
Is 16188 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16188?
It is a composite number with 24 divisors.