The number 52808
52808 is a composite number with 32 divisors. Its prime factorisation is × 7 × 23 × 41. Divisors (32): 1, 2, 4, 7, 8, 14, 23, 28, 41, 46, 56, 82, 92, 161, 164, 184 … 52808.
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How to work it out
- 1
What is special about 52808: a Harshad number: divisible by its digit sum 23.
- 2
52808 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 52808 itself that is 68152, so 52808 is abundant (68152 is more than 52808). Euler's totient φ(52808) = 21120 numbers up to 52808 share no factor with it.
- 4
The digits of 52808 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52808 = 2^{3} \times 7 \times 23 \times 41 \]52808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 21120 |
| Square | 2788684864 |
| Cube | 147264870298112 |
| Square root | 229.799913 (= 2√13202) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2808 × |
52808 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand eight hundred and eight |
| Binary (base 2) | 1100111001001000 |
| Octal (base 8) | 147110 |
| Hexadecimal (base 16) | CE48 |
| Base 3 | 2200102212 |
| As time | 52808 seconds = 14 h 40 min 8 s |
Is 52808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52808 ÷ 2 = 26404) | 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 (52808 ÷ 4 = 13202) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 (52808 ÷ 7 = 7544) | 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 (52808 ÷ 8 = 6601) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 52808 a prime number?
No. 52808 = × 7 × 23 × 41, so it is divisible by 2.
What are the factors of 52808?
1, 2, 4, 7, 8, 14, 23, 28, 41, 46, 56, 82, 92, 161, 164, 184, 287, 322, 328, 574, 644, 943, 1148, 1288, 1886, 2296, 3772, 6601, 7544, 13202, 26404, 52808.
What is 52808 in binary?
1100111001001000 (hexadecimal CE48, octal 147110).
What is the square root of 52808?
About 229.7999, exactly 2√13202.
Is 52808 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 52808?
52808 is a Harshad number: divisible by its digit sum 23.