The number 28832
28832 is a composite number with 24 divisors. Its prime factorisation is × 17 × 53. Divisors (24): 1, 2, 4, 8, 16, 17, 32, 34, 53, 68, 106, 136, 212, 272, 424, 544 … 28832.
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How to work it out
- 1
28832 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28832 is composite. Its prime factorisation is
- 3
The divisors add up to 61236; without 28832 itself that is 32404, so 28832 is abundant (32404 is more than 28832). Euler's totient φ(28832) = 13312 numbers up to 28832 share no factor with it.
- 4
The digits of 28832 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28832 = 2^{5} \times 17 \times 53 \]28832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 61236 |
| Euler totient φ(n) | 13312 |
| Square | 831284224 |
| Cube | 23967586746368 |
| Square root | 169.799882 (= 4√1802) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.8832 × |
28832 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand eight hundred and thirty-two |
| Binary (base 2) | 111000010100000 |
| Octal (base 8) | 70240 |
| Hexadecimal (base 16) | 70A0 |
| Base 3 | 1110112212 |
| As time | 28832 seconds = 8 h 0 min 32 s |
Is 28832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28832 ÷ 2 = 14416) | 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 (28832 ÷ 4 = 7208) | 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 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 (28832 ÷ 8 = 3604) | 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 | No (remainder 1) | 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 28832 a prime number?
No. 28832 = × 17 × 53, so it is divisible by 2.
What are the factors of 28832?
1, 2, 4, 8, 16, 17, 32, 34, 53, 68, 106, 136, 212, 272, 424, 544, 848, 901, 1696, 1802, 3604, 7208, 14416, 28832.
What is 28832 in binary?
111000010100000 (hexadecimal 70A0, octal 70240).
What is the square root of 28832?
About 169.7999, exactly 4√1802.
Is 28832 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 28832?
It is a composite number with 24 divisors.