The number 16028
16028 is a composite number with 6 divisors. Its prime factorisation is × 4007. Divisors (6): 1, 2, 4, 4007, 8014, 16028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16028 is composite. Its prime factorisation is
- 3
The divisors add up to 28056; without 16028 itself that is 12028, so 16028 is deficient (12028 is less than 16028). Euler's totient φ(16028) = 8012 numbers up to 16028 share no factor with it.
- 4
The digits of 16028 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16028 = 2^{2} \times 4007 \]16028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 28056 |
| Euler totient φ(n) | 8012 |
| Square | 256896784 |
| Cube | 4117541653952 |
| Square root | 126.601738 (= 2√4007) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6028 × |
16028 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and twenty-eight |
| Binary (base 2) | 11111010011100 |
| Octal (base 8) | 37234 |
| Hexadecimal (base 16) | 3E9C |
| Base 3 | 210222122 |
| As time | 16028 seconds = 4 h 27 min 8 s |
Is 16028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16028 ÷ 2 = 8014) | 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 (16028 ÷ 4 = 4007) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 16028 a prime number?
No. 16028 = × 4007, so it is divisible by 2.
What are the factors of 16028?
1, 2, 4, 4007, 8014, 16028.
What is 16028 in binary?
11111010011100 (hexadecimal 3E9C, octal 37234).
What is the square root of 16028?
About 126.6017, exactly 2√4007.
Is 16028 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16028?
It is a composite number with 6 divisors.