The number 1028
1028 is a composite number with 6 divisors. Its prime factorisation is × 257. Divisors (6): 1, 2, 4, 257, 514, 1028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1028 is composite. Its prime factorisation is
- 3
The divisors add up to 1806; without 1028 itself that is 778, so 1028 is deficient (778 is less than 1028). Euler's totient φ(1028) = 512 numbers up to 1028 share no factor with it.
- 4
The digits of 1028 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1028 = 2^{2} \times 257 \]1028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1806 |
| Euler totient φ(n) | 512 |
| Square | 1056784 |
| Cube | 1086373952 |
| Square root | 32.062439 (= 2√257) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 124 |
| Scientific notation | 1.028 × |
1028 in other forms
| Form | Value |
|---|---|
| In words | one thousand and twenty-eight |
| Roman numerals | MXXVIII |
| Binary (base 2) | 10000000100 |
| Octal (base 8) | 2004 |
| Hexadecimal (base 16) | 404 |
| Base 3 | 1102002 |
| As time | 1028 seconds = 17 min 8 s |
Is 1028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1028 ÷ 2 = 514) | 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 (1028 ÷ 4 = 257) | 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 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 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 5) | 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 1028 a prime number?
No. 1028 = × 257, so it is divisible by 2.
What are the factors of 1028?
1, 2, 4, 257, 514, 1028.
What is 1028 in binary?
10000000100 (hexadecimal 404, octal 2004).
What is the square root of 1028?
About 32.0624, exactly 2√257.
What is 1028 in Roman numerals?
MXXVIII.
Is 1028 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1028?
It is a composite number with 6 divisors.