The number 55648
55648 is a composite number with 24 divisors. Its prime factorisation is × 37 × 47. Divisors (24): 1, 2, 4, 8, 16, 32, 37, 47, 74, 94, 148, 188, 296, 376, 592, 752 … 55648.
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How to work it out
- 1
55648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55648 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 55648 itself that is 59264, so 55648 is abundant (59264 is more than 55648). Euler's totient φ(55648) = 26496 numbers up to 55648 share no factor with it.
- 4
The digits of 55648 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55648 = 2^{5} \times 37 \times 47 \]55648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 26496 |
| Square | 3096699904 |
| Cube | 172325156257792 |
| Square root | 235.898283 (= 4√3478) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5648 × |
55648 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and forty-eight |
| Binary (base 2) | 1101100101100000 |
| Octal (base 8) | 154540 |
| Hexadecimal (base 16) | D960 |
| Base 3 | 2211100001 |
| As time | 55648 seconds = 15 h 27 min 28 s |
Is 55648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55648 ÷ 2 = 27824) | 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 (55648 ÷ 4 = 13912) | 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 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 (55648 ÷ 8 = 6956) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | 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 55648 a prime number?
No. 55648 = × 37 × 47, so it is divisible by 2.
What are the factors of 55648?
1, 2, 4, 8, 16, 32, 37, 47, 74, 94, 148, 188, 296, 376, 592, 752, 1184, 1504, 1739, 3478, 6956, 13912, 27824, 55648.
What is 55648 in binary?
1101100101100000 (hexadecimal D960, octal 154540).
What is the square root of 55648?
About 235.8983, exactly 4√3478.
Is 55648 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 55648?
It is a composite number with 24 divisors.