The number 30272
30272 is a composite number with 28 divisors. Its prime factorisation is × 11 × 43. Divisors (28): 1, 2, 4, 8, 11, 16, 22, 32, 43, 44, 64, 86, 88, 172, 176, 344 … 30272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30272 is composite. Its prime factorisation is
- 3
The divisors add up to 67056; without 30272 itself that is 36784, so 30272 is abundant (36784 is more than 30272). Euler's totient φ(30272) = 13440 numbers up to 30272 share no factor with it.
- 4
The digits of 30272 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30272 = 2^{6} \times 11 \times 43 \]30272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 67056 |
| Euler totient φ(n) | 13440 |
| Square | 916393984 |
| Cube | 27741078683648 |
| Square root | 173.988505 (= 8√473) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.0272 × |
30272 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand two hundred and seventy-two |
| Binary (base 2) | 111011001000000 |
| Octal (base 8) | 73100 |
| Hexadecimal (base 16) | 7640 |
| Base 3 | 1112112012 |
| As time | 30272 seconds = 8 h 24 min 32 s |
Is 30272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30272 ÷ 2 = 15136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (30272 ÷ 4 = 7568) | 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 2) | 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 | Yes (30272 ÷ 8 = 3784) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (30272 ÷ 11 = 2752) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30272 a prime number?
No. 30272 = × 11 × 43, so it is divisible by 2.
What are the factors of 30272?
1, 2, 4, 8, 11, 16, 22, 32, 43, 44, 64, 86, 88, 172, 176, 344, 352, 473, 688, 704, 946, 1376, 1892, 2752, 3784, 7568, 15136, 30272.
What is 30272 in binary?
111011001000000 (hexadecimal 7640, octal 73100).
What is the square root of 30272?
About 173.9885, exactly 8√473.
Is 30272 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 30272?
It is a composite number with 28 divisors.