The number 28364
28364 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1013. Divisors (12): 1, 2, 4, 7, 14, 28, 1013, 2026, 4052, 7091, 14182, 28364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28364: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
28364 is composite. Its prime factorisation is
- 3
The divisors add up to 56784; without 28364 itself that is 28420, so 28364 is abundant (28420 is more than 28364). Euler's totient φ(28364) = 12144 numbers up to 28364 share no factor with it.
- 4
The digits of 28364 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
\[ 28364 = 2^{2} \times 7 \times 1013 \]28364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56784 |
| Euler totient φ(n) | 12144 |
| Square | 804516496 |
| Cube | 22819305892544 |
| Square root | 168.416151 (= 2√7091) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.8364 × |
28364 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand three hundred and sixty-four |
| Binary (base 2) | 110111011001100 |
| Octal (base 8) | 67314 |
| Hexadecimal (base 16) | 6ECC |
| Base 3 | 1102220112 |
| As time | 28364 seconds = 7 h 52 min 44 s |
Is 28364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28364 ÷ 2 = 14182) | 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 (28364 ÷ 4 = 7091) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (28364 ÷ 7 = 4052) | 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 | No (remainder 5) | 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 6) | 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 28364 a prime number?
No. 28364 = × 7 × 1013, so it is divisible by 2.
What are the factors of 28364?
1, 2, 4, 7, 14, 28, 1013, 2026, 4052, 7091, 14182, 28364.
What is 28364 in binary?
110111011001100 (hexadecimal 6ECC, octal 67314).
What is the square root of 28364?
About 168.4162, exactly 2√7091.
Is 28364 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 28364?
28364 is a happy number: repeatedly adding the squares of its digits reaches 1.