The number 28767
28767 is a composite number with 8 divisors. Its prime factorisation is 3 × 43 × 223. Divisors (8): 1, 3, 43, 129, 223, 669, 9589, 28767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28767 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28767 is composite. Its prime factorisation is
- 3
The divisors add up to 39424; without 28767 itself that is 10657, so 28767 is deficient (10657 is less than 28767). Euler's totient φ(28767) = 18648 numbers up to 28767 share no factor with it.
- 4
The digits of 28767 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 196 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28767 = 3 \times 43 \times 223 \]
28767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39424 |
| Euler totient φ(n) | 18648 |
| Square | 827540289 |
| Cube | 23805851493663 |
| Square root | 169.608372 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 196 |
| Scientific notation | 2.8767 × |
28767 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand seven hundred and sixty-seven |
| Binary (base 2) | 111000001011111 |
| Octal (base 8) | 70137 |
| Hexadecimal (base 16) | 705F |
| Base 3 | 1110110110 |
| As time | 28767 seconds = 7 h 59 min 27 s |
Is 28767 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 | Yes (28767 ÷ 3 = 9589) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28767 a prime number?
No. 28767 = 3 × 43 × 223, so it is divisible by 3.
What are the factors of 28767?
1, 3, 43, 129, 223, 669, 9589, 28767.
What is 28767 in binary?
111000001011111 (hexadecimal 705F, octal 70137).
What is the square root of 28767?
About 169.6084.
Is 28767 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 28767?
It is a composite number with 8 divisors.