The number 16328
16328 is a composite number with 16 divisors. Its prime factorisation is × 13 × 157. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 157, 314, 628, 1256, 2041, 4082, 8164, 16328.
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How to work it out
- 1
16328 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16328 is composite. Its prime factorisation is
- 3
The divisors add up to 33180; without 16328 itself that is 16852, so 16328 is abundant (16852 is more than 16328). Euler's totient φ(16328) = 7488 numbers up to 16328 share no factor with it.
- 4
The digits of 16328 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16328 = 2^{3} \times 13 \times 157 \]16328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 33180 |
| Euler totient φ(n) | 7488 |
| Square | 266603584 |
| Cube | 4353103319552 |
| Square root | 127.781063 (= 2√4082) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6328 × |
16328 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and twenty-eight |
| Binary (base 2) | 11111111001000 |
| Octal (base 8) | 37710 |
| Hexadecimal (base 16) | 3FC8 |
| Base 3 | 211101202 |
| As time | 16328 seconds = 4 h 32 min 8 s |
Is 16328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16328 ÷ 2 = 8164) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16328 ÷ 4 = 4082) | 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 | No (remainder 2) | 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 | Yes (16328 ÷ 8 = 2041) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16328 a prime number?
No. 16328 = × 13 × 157, so it is divisible by 2.
What are the factors of 16328?
1, 2, 4, 8, 13, 26, 52, 104, 157, 314, 628, 1256, 2041, 4082, 8164, 16328.
What is 16328 in binary?
11111111001000 (hexadecimal 3FC8, octal 37710).
What is the square root of 16328?
About 127.7811, exactly 2√4082.
Is 16328 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16328?
It is a composite number with 16 divisors.