The number 28033
28033 is a composite number with 6 divisors. Its prime factorisation is Ć 97. Divisors (6): 1, 17, 97, 289, 1649, 28033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28033: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
28033 is composite. Its prime factorisation is
- 3
The divisors add up to 30086; without 28033 itself that is 2053, so 28033 is deficient (2053 is less than 28033). Euler's totient Ļ(28033) = 26112 numbers up to 28033 share no factor with it.
- 4
The digits of 28033 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28033 = 17^{2} \times 97 \]28033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 30086 |
| Euler totient Ļ(n) | 26112 |
| Square | 785849089 |
| Cube | 22029707511937 |
| Square root | 167.430583 (= 17ā97) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.8033 Ć |
28033 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand and thirty-three |
| Binary (base 2) | 110110110000001 |
| Octal (base 8) | 66601 |
| Hexadecimal (base 16) | 6D81 |
| Base 3 | 1102110021 |
| As time | 28033 seconds = 7 h 47 min 13 s |
Is 28033 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28033 a prime number?
No. 28033 = Ć 97, so it is divisible by 17.
What are the factors of 28033?
1, 17, 97, 289, 1649, 28033.
What is 28033 in binary?
110110110000001 (hexadecimal 6D81, octal 66601).
What is the square root of 28033?
About 167.4306, exactly 17ā97.
Is 28033 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 28033?
28033 is a happy number: repeatedly adding the squares of its digits reaches 1.