The number 28272
28272 is a composite number with 40 divisors. Its prime factorisation is × 3 × 19 × 31. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 31, 38, 48, 57, 62, 76 … 28272.
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How to work it out
- 1
28272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28272 is composite. Its prime factorisation is
- 3
The divisors add up to 79360; without 28272 itself that is 51088, so 28272 is abundant (51088 is more than 28272). Euler's totient φ(28272) = 8640 numbers up to 28272 share no factor with it.
- 4
The digits of 28272 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28272 = 2^{4} \times 3 \times 19 \times 31 \]28272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 79360 |
| Euler totient φ(n) | 8640 |
| Square | 799305984 |
| Cube | 22597978779648 |
| Square root | 168.142796 (= 4√1767) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.8272 × |
28272 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand two hundred and seventy-two |
| Binary (base 2) | 110111001110000 |
| Octal (base 8) | 67160 |
| Hexadecimal (base 16) | 6E70 |
| Base 3 | 1102210010 |
| As time | 28272 seconds = 7 h 51 min 12 s |
Is 28272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28272 ÷ 2 = 14136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28272 ÷ 3 = 9424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28272 ÷ 4 = 7068) | 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 | Yes (28272 ÷ 6 = 4712) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (28272 ÷ 8 = 3534) | 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 2) | 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 | Yes (28272 ÷ 12 = 2356) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28272 a prime number?
No. 28272 = × 3 × 19 × 31, so it is divisible by 2.
What are the factors of 28272?
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 31, 38, 48, 57, 62, 76, 93, 114, 124, 152, 186, 228, 248, 304, 372, 456, 496, 589, 744, 912, 1178, 1488, 1767, 2356, 3534, 4712, 7068, 9424, 14136, 28272.
What is 28272 in binary?
110111001110000 (hexadecimal 6E70, octal 67160).
What is the square root of 28272?
About 168.1428, exactly 4√1767.
Is 28272 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 28272?
It is a composite number with 40 divisors.