The number 52848
52848 is a composite number with 30 divisors. Its prime factorisation is × × 367. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 367 … 52848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52848 is composite. Its prime factorisation is
- 3
The divisors add up to 148304; without 52848 itself that is 95456, so 52848 is abundant (95456 is more than 52848). Euler's totient φ(52848) = 17568 numbers up to 52848 share no factor with it.
- 4
The digits of 52848 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52848 = 2^{4} \times 3^{2} \times 367 \]52848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 148304 |
| Euler totient φ(n) | 17568 |
| Square | 2792911104 |
| Cube | 147599766024192 |
| Square root | 229.886929 (= 12√367) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2848 × |
52848 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand eight hundred and forty-eight |
| Binary (base 2) | 1100111001110000 |
| Octal (base 8) | 147160 |
| Hexadecimal (base 16) | CE70 |
| Base 3 | 2200111100 |
| As time | 52848 seconds = 14 h 40 min 48 s |
Is 52848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52848 ÷ 2 = 26424) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52848 ÷ 3 = 17616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52848 ÷ 4 = 13212) | 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 | Yes (52848 ÷ 6 = 8808) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (52848 ÷ 8 = 6606) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52848 ÷ 9 = 5872) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52848 ÷ 12 = 4404) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52848 a prime number?
No. 52848 = × × 367, so it is divisible by 2.
What are the factors of 52848?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 367, 734, 1101, 1468, 2202, 2936, 3303, 4404, 5872, 6606, 8808, 13212, 17616, 26424, 52848.
What is 52848 in binary?
1100111001110000 (hexadecimal CE70, octal 147160).
What is the square root of 52848?
About 229.8869, exactly 12√367.
Is 52848 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 52848?
It is a composite number with 30 divisors.