The number 55704
55704 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 211. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 211 … 55704.
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How to work it out
- 1
55704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55704 is composite. Its prime factorisation is
- 3
The divisors add up to 152640; without 55704 itself that is 96936, so 55704 is abundant (96936 is more than 55704). Euler's totient φ(55704) = 16800 numbers up to 55704 share no factor with it.
- 4
The digits of 55704 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55704 = 2^{3} \times 3 \times 11 \times 211 \]55704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 152640 |
| Euler totient φ(n) | 16800 |
| Square | 3102935616 |
| Cube | 172845925553664 |
| Square root | 236.016949 (= 2√13926) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5704 × |
55704 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and four |
| Binary (base 2) | 1101100110011000 |
| Octal (base 8) | 154630 |
| Hexadecimal (base 16) | D998 |
| Base 3 | 2211102010 |
| As time | 55704 seconds = 15 h 28 min 24 s |
Is 55704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55704 ÷ 2 = 27852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55704 ÷ 3 = 18568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55704 ÷ 4 = 13926) | 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 | Yes (55704 ÷ 6 = 9284) | 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 (55704 ÷ 8 = 6963) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (55704 ÷ 11 = 5064) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55704 ÷ 12 = 4642) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55704 a prime number?
No. 55704 = × 3 × 11 × 211, so it is divisible by 2.
What are the factors of 55704?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 211, 264, 422, 633, 844, 1266, 1688, 2321, 2532, 4642, 5064, 6963, 9284, 13926, 18568, 27852, 55704.
What is 55704 in binary?
1101100110011000 (hexadecimal D998, octal 154630).
What is the square root of 55704?
About 236.0169, exactly 2√13926.
Is 55704 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55704?
It is a composite number with 32 divisors.