The number 53648
53648 is a composite number with 20 divisors. Its prime factorisation is × 7 × 479. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 479, 958, 1916, 3353, 3832, 6706 … 53648.
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How to work it out
- 1
53648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53648 is composite. Its prime factorisation is
- 3
The divisors add up to 119040; without 53648 itself that is 65392, so 53648 is abundant (65392 is more than 53648). Euler's totient φ(53648) = 22944 numbers up to 53648 share no factor with it.
- 4
The digits of 53648 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53648 = 2^{4} \times 7 \times 479 \]53648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 119040 |
| Euler totient φ(n) | 22944 |
| Square | 2878107904 |
| Cube | 154404732833792 |
| Square root | 231.620379 (= 4√3353) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3648 × |
53648 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand six hundred and forty-eight |
| Binary (base 2) | 1101000110010000 |
| Octal (base 8) | 150620 |
| Hexadecimal (base 16) | D190 |
| Base 3 | 2201120222 |
| As time | 53648 seconds = 14 h 54 min 8 s |
Is 53648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53648 ÷ 2 = 26824) | 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 (53648 ÷ 4 = 13412) | 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 (53648 ÷ 7 = 7664) | 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 (53648 ÷ 8 = 6706) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 53648 a prime number?
No. 53648 = × 7 × 479, so it is divisible by 2.
What are the factors of 53648?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 479, 958, 1916, 3353, 3832, 6706, 7664, 13412, 26824, 53648.
What is 53648 in binary?
1101000110010000 (hexadecimal D190, octal 150620).
What is the square root of 53648?
About 231.6204, exactly 4√3353.
Is 53648 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 53648?
It is a composite number with 20 divisors.