The number 16428
16428 is a composite number with 18 divisors. Its prime factorisation is × 3 × . Divisors (18): 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444, 1369, 2738, 4107, 5476 … 16428.
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How to work it out
- 1
16428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16428 is composite. Its prime factorisation is
- 3
The divisors add up to 39396; without 16428 itself that is 22968, so 16428 is abundant (22968 is more than 16428). Euler's totient φ(16428) = 5328 numbers up to 16428 share no factor with it.
- 4
The digits of 16428 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16428 = 2^{2} \times 3 \times 37^{2} \]16428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 39396 |
| Euler totient φ(n) | 5328 |
| Square | 269879184 |
| Cube | 4433575234752 |
| Square root | 128.171760 (= 74√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6428 × |
16428 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and twenty-eight |
| Binary (base 2) | 100000000101100 |
| Octal (base 8) | 40054 |
| Hexadecimal (base 16) | 402C |
| Base 3 | 211112110 |
| As time | 16428 seconds = 4 h 33 min 48 s |
Is 16428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16428 ÷ 2 = 8214) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16428 ÷ 3 = 5476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16428 ÷ 4 = 4107) | 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 (16428 ÷ 6 = 2738) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16428 ÷ 12 = 1369) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16428 a prime number?
No. 16428 = × 3 × , so it is divisible by 2.
What are the factors of 16428?
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444, 1369, 2738, 4107, 5476, 8214, 16428.
What is 16428 in binary?
100000000101100 (hexadecimal 402C, octal 40054).
What is the square root of 16428?
About 128.1718, exactly 74√3.
Is 16428 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16428?
It is a composite number with 18 divisors.