The number 9028
9028 is a composite number with 12 divisors. Its prime factorisation is × 37 × 61. Divisors (12): 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9028 is composite. Its prime factorisation is
- 3
The divisors add up to 16492; without 9028 itself that is 7464, so 9028 is deficient (7464 is less than 9028). Euler's totient φ(9028) = 4320 numbers up to 9028 share no factor with it.
- 4
The digits of 9028 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9028 = 2^{2} \times 37 \times 61 \]9028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16492 |
| Euler totient φ(n) | 4320 |
| Square | 81504784 |
| Cube | 735825189952 |
| Square root | 95.015788 (= 2√2257) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 9.028 × |
9028 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and twenty-eight |
| Binary (base 2) | 10001101000100 |
| Octal (base 8) | 21504 |
| Hexadecimal (base 16) | 2344 |
| Base 3 | 110101101 |
| As time | 9028 seconds = 2 h 30 min 28 s |
Is 9028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9028 ÷ 2 = 4514) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9028 ÷ 4 = 2257) | 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 4) | 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 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9028 a prime number?
No. 9028 = × 37 × 61, so it is divisible by 2.
What are the factors of 9028?
1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028.
What is 9028 in binary?
10001101000100 (hexadecimal 2344, octal 21504).
What is the square root of 9028?
About 95.0158, exactly 2√2257.
Is 9028 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9028?
It is a composite number with 12 divisors.