The number 4028
4028 is a composite number with 12 divisors. Its prime factorisation is × 19 × 53. Divisors (12): 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4028 is composite. Its prime factorisation is
- 3
The divisors add up to 7560; without 4028 itself that is 3532, so 4028 is deficient (3532 is less than 4028). Euler's totient φ(4028) = 1872 numbers up to 4028 share no factor with it.
- 4
The digits of 4028 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4028 = 2^{2} \times 19 \times 53 \]4028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7560 |
| Euler totient φ(n) | 1872 |
| Square | 16224784 |
| Cube | 65353429952 |
| Square root | 63.466527 (= 2√1007) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.028 × |
4028 in other forms
| Form | Value |
|---|---|
| In words | four thousand and twenty-eight |
| Binary (base 2) | 111110111100 |
| Octal (base 8) | 7674 |
| Hexadecimal (base 16) | FBC |
| Base 3 | 12112012 |
| As time | 4028 seconds = 1 h 7 min 8 s |
Is 4028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4028 ÷ 2 = 2014) | 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 (4028 ÷ 4 = 1007) | 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 3) | 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 5) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4028 a prime number?
No. 4028 = × 19 × 53, so it is divisible by 2.
What are the factors of 4028?
1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028.
What is 4028 in binary?
111110111100 (hexadecimal FBC, octal 7674).
What is the square root of 4028?
About 63.4665, exactly 2√1007.
Is 4028 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4028?
It is a composite number with 12 divisors.