The number 28743
28743 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 67. Divisors (16): 1, 3, 11, 13, 33, 39, 67, 143, 201, 429, 737, 871, 2211, 2613, 9581, 28743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28743 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28743 is composite. Its prime factorisation is
- 3
The divisors add up to 45696; without 28743 itself that is 16953, so 28743 is deficient (16953 is less than 28743). Euler's totient φ(28743) = 15840 numbers up to 28743 share no factor with it.
- 4
The digits of 28743 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28743 = 3 \times 11 \times 13 \times 67 \]
28743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 45696 |
| Euler totient φ(n) | 15840 |
| Square | 826160049 |
| Cube | 23746318288407 |
| Square root | 169.537606 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.8743 × |
28743 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand seven hundred and forty-three |
| Binary (base 2) | 111000001000111 |
| Octal (base 8) | 70107 |
| Hexadecimal (base 16) | 7047 |
| Base 3 | 1110102120 |
| As time | 28743 seconds = 7 h 59 min 3 s |
Is 28743 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 (28743 ÷ 3 = 9581) | 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 3) | 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 1) | 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 6) | 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 | Yes (28743 ÷ 11 = 2613) | 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 28743 a prime number?
No. 28743 = 3 × 11 × 13 × 67, so it is divisible by 3.
What are the factors of 28743?
1, 3, 11, 13, 33, 39, 67, 143, 201, 429, 737, 871, 2211, 2613, 9581, 28743.
What is 28743 in binary?
111000001000111 (hexadecimal 7047, octal 70107).
What is the square root of 28743?
About 169.5376.
Is 28743 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 28743?
It is a composite number with 16 divisors.