The number 53248
53248 is a composite number with 26 divisors. Its prime factorisation is × 13. Divisors (26): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512 … 53248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53248 is composite. Its prime factorisation is
- 3
The divisors add up to 114674; without 53248 itself that is 61426, so 53248 is abundant (61426 is more than 53248). Euler's totient φ(53248) = 24576 numbers up to 53248 share no factor with it.
- 4
The digits of 53248 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53248 = 2^{12} \times 13 \]53248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 26 |
| Sum of divisors | 114674 |
| Euler totient φ(n) | 24576 |
| Square | 2835349504 |
| Cube | 150976690388992 |
| Square root | 230.755282 (= 64√13) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 21 |
| Scientific notation | 5.3248 × |
53248 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand two hundred and forty-eight |
| Binary (base 2) | 1101000000000000 |
| Octal (base 8) | 150000 |
| Hexadecimal (base 16) | D000 |
| Base 3 | 2201001011 |
| As time | 53248 seconds = 14 h 47 min 28 s |
Is 53248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53248 ÷ 2 = 26624) | 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 (53248 ÷ 4 = 13312) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (53248 ÷ 8 = 6656) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53248 a prime number?
No. 53248 = × 13, so it is divisible by 2.
What are the factors of 53248?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 2048, 3328, 4096, 6656, 13312, 26624, 53248.
What is 53248 in binary?
1101000000000000 (hexadecimal D000, octal 150000).
What is the square root of 53248?
About 230.7553, exactly 64√13.
Is 53248 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 53248?
It is a composite number with 26 divisors.