The number 53728
53728 is a composite number with 24 divisors. Its prime factorisation is × 23 × 73. Divisors (24): 1, 2, 4, 8, 16, 23, 32, 46, 73, 92, 146, 184, 292, 368, 584, 736 … 53728.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53728 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53728 is composite. Its prime factorisation is
- 3
The divisors add up to 111888; without 53728 itself that is 58160, so 53728 is abundant (58160 is more than 53728). Euler's totient φ(53728) = 25344 numbers up to 53728 share no factor with it.
- 4
The digits of 53728 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53728 = 2^{5} \times 23 \times 73 \]53728 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111888 |
| Euler totient φ(n) | 25344 |
| Square | 2886697984 |
| Cube | 155096509284352 |
| Square root | 231.793011 (= 4√3358) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.3728 × |
53728 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and twenty-eight |
| Binary (base 2) | 1101000111100000 |
| Octal (base 8) | 150740 |
| Hexadecimal (base 16) | D1E0 |
| Base 3 | 2201200221 |
| As time | 53728 seconds = 14 h 55 min 28 s |
Is 53728 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53728 ÷ 2 = 26864) | 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 (53728 ÷ 4 = 13432) | 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 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 | Yes (53728 ÷ 8 = 6716) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53728 a prime number?
No. 53728 = × 23 × 73, so it is divisible by 2.
What are the factors of 53728?
1, 2, 4, 8, 16, 23, 32, 46, 73, 92, 146, 184, 292, 368, 584, 736, 1168, 1679, 2336, 3358, 6716, 13432, 26864, 53728.
What is 53728 in binary?
1101000111100000 (hexadecimal D1E0, octal 150740).
What is the square root of 53728?
About 231.7930, exactly 4√3358.
Is 53728 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 53728?
It is a composite number with 24 divisors.