The number 28737
28737 is a composite number with 12 divisors. Its prime factorisation is × 31 × 103. Divisors (12): 1, 3, 9, 31, 93, 103, 279, 309, 927, 3193, 9579, 28737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28737 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28737 is composite. Its prime factorisation is
- 3
The divisors add up to 43264; without 28737 itself that is 14527, so 28737 is deficient (14527 is less than 28737). Euler's totient φ(28737) = 18360 numbers up to 28737 share no factor with it.
- 4
The digits of 28737 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28737 = 3^{2} \times 31 \times 103 \]28737 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 43264 |
| Euler totient φ(n) | 18360 |
| Square | 825815169 |
| Cube | 23731450511553 |
| Square root | 169.519910 (= 3√3193) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.8737 × |
28737 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand seven hundred and thirty-seven |
| Binary (base 2) | 111000001000001 |
| Octal (base 8) | 70101 |
| Hexadecimal (base 16) | 7041 |
| Base 3 | 1110102100 |
| As time | 28737 seconds = 7 h 58 min 57 s |
Is 28737 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 (28737 ÷ 3 = 9579) | 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 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 2) | 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 | Yes (28737 ÷ 9 = 3193) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28737 a prime number?
No. 28737 = × 31 × 103, so it is divisible by 3.
What are the factors of 28737?
1, 3, 9, 31, 93, 103, 279, 309, 927, 3193, 9579, 28737.
What is 28737 in binary?
111000001000001 (hexadecimal 7041, octal 70101).
What is the square root of 28737?
About 169.5199, exactly 3√3193.
Is 28737 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 28737?
It is a composite number with 12 divisors.