The number 53824
53824 is a perfect square (232²). Its prime factorisation is × . Divisors (21): 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 841, 928, 1682, 1856 … 53824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53824: a perfect square (232²).
- 2
53824 is composite. Its prime factorisation is
- 3
The divisors add up to 110617; without 53824 itself that is 56793, so 53824 is abundant (56793 is more than 53824). Euler's totient φ(53824) = 25984 numbers up to 53824 share no factor with it.
- 4
The digits of 53824 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53824 = 2^{6} \times 29^{2} \]53824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 21 |
| Sum of divisors | 110617 |
| Euler totient φ(n) | 25984 |
| Square | 2897022976 |
| Cube | 155929364660224 |
| Square root | 232 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3824 × |
| Perfect power |
53824 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and twenty-four |
| Binary (base 2) | 1101001001000000 |
| Octal (base 8) | 151100 |
| Hexadecimal (base 16) | D240 |
| Base 3 | 2201211111 |
| As time | 53824 seconds = 14 h 57 min 4 s |
Is 53824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53824 ÷ 2 = 26912) | 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 (53824 ÷ 4 = 13456) | 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 1) | 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 (53824 ÷ 8 = 6728) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 53824 a prime number?
No. 53824 = × , so it is divisible by 2.
What are the factors of 53824?
1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 841, 928, 1682, 1856, 3364, 6728, 13456, 26912, 53824.
What is 53824 in binary?
1101001001000000 (hexadecimal D240, octal 151100).
What is the square root of 53824?
232, because 232 × 232 = 53824.
Is 53824 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 53824?
53824 is a perfect square (232²).