The number 28764
28764 is a composite number with 36 divisors. Its prime factorisation is × × 17 × 47. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 47, 51, 68, 94, 102 … 28764.
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How to work it out
- 1
28764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28764 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 28764 itself that is 49860, so 28764 is abundant (49860 is more than 28764). Euler's totient φ(28764) = 8832 numbers up to 28764 share no factor with it.
- 4
The digits of 28764 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28764 = 2^{2} \times 3^{2} \times 17 \times 47 \]28764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 8832 |
| Square | 827367696 |
| Cube | 23798404407744 |
| Square root | 169.599528 (= 6√799) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.8764 × |
28764 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand seven hundred and sixty-four |
| Binary (base 2) | 111000001011100 |
| Octal (base 8) | 70134 |
| Hexadecimal (base 16) | 705C |
| Base 3 | 1110110100 |
| As time | 28764 seconds = 7 h 59 min 24 s |
Is 28764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28764 ÷ 2 = 14382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28764 ÷ 3 = 9588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28764 ÷ 4 = 7191) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (28764 ÷ 6 = 4794) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (28764 ÷ 9 = 3196) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (28764 ÷ 12 = 2397) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28764 a prime number?
No. 28764 = × × 17 × 47, so it is divisible by 2.
What are the factors of 28764?
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 47, 51, 68, 94, 102, 141, 153, 188, 204, 282, 306, 423, 564, 612, 799, 846, 1598, 1692, 2397, 3196, 4794, 7191, 9588, 14382, 28764.
What is 28764 in binary?
111000001011100 (hexadecimal 705C, octal 70134).
What is the square root of 28764?
About 169.5995, exactly 6√799.
Is 28764 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 28764?
It is a composite number with 36 divisors.