The number 52804
52804 is a composite number with 12 divisors. Its prime factorisation is × 43 × 307. Divisors (12): 1, 2, 4, 43, 86, 172, 307, 614, 1228, 13201, 26402, 52804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52804: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52804 is composite. Its prime factorisation is
- 3
The divisors add up to 94864; without 52804 itself that is 42060, so 52804 is deficient (42060 is less than 52804). Euler's totient φ(52804) = 25704 numbers up to 52804 share no factor with it.
- 4
The digits of 52804 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52804 = 2^{2} \times 43 \times 307 \]52804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94864 |
| Euler totient φ(n) | 25704 |
| Square | 2788262416 |
| Cube | 147231408614464 |
| Square root | 229.791210 (= 2√13201) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2804 × |
52804 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand eight hundred and four |
| Binary (base 2) | 1100111001000100 |
| Octal (base 8) | 147104 |
| Hexadecimal (base 16) | CE44 |
| Base 3 | 2200102201 |
| As time | 52804 seconds = 14 h 40 min 4 s |
Is 52804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52804 ÷ 2 = 26402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52804 ÷ 4 = 13201) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52804 a prime number?
No. 52804 = × 43 × 307, so it is divisible by 2.
What are the factors of 52804?
1, 2, 4, 43, 86, 172, 307, 614, 1228, 13201, 26402, 52804.
What is 52804 in binary?
1100111001000100 (hexadecimal CE44, octal 147104).
What is the square root of 52804?
About 229.7912, exactly 2√13201.
Is 52804 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 52804?
52804 is a happy number: repeatedly adding the squares of its digits reaches 1.