The number 55644
55644 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4637. Divisors (12): 1, 2, 3, 4, 6, 12, 4637, 9274, 13911, 18548, 27822, 55644.
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How to work it out
- 1
55644 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55644 is composite. Its prime factorisation is
- 3
The divisors add up to 129864; without 55644 itself that is 74220, so 55644 is abundant (74220 is more than 55644). Euler's totient φ(55644) = 18544 numbers up to 55644 share no factor with it.
- 4
The digits of 55644 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55644 = 2^{2} \times 3 \times 4637 \]55644 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 129864 |
| Euler totient φ(n) | 18544 |
| Square | 3096254736 |
| Cube | 172287998529984 |
| Square root | 235.889805 (= 2√13911) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5644 × |
55644 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and forty-four |
| Binary (base 2) | 1101100101011100 |
| Octal (base 8) | 154534 |
| Hexadecimal (base 16) | D95C |
| Base 3 | 2211022220 |
| As time | 55644 seconds = 15 h 27 min 24 s |
Is 55644 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55644 ÷ 2 = 27822) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55644 ÷ 3 = 18548) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55644 ÷ 4 = 13911) | 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 (55644 ÷ 6 = 9274) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55644 ÷ 12 = 4637) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55644 a prime number?
No. 55644 = × 3 × 4637, so it is divisible by 2.
What are the factors of 55644?
1, 2, 3, 4, 6, 12, 4637, 9274, 13911, 18548, 27822, 55644.
What is 55644 in binary?
1101100101011100 (hexadecimal D95C, octal 154534).
What is the square root of 55644?
About 235.8898, exactly 2√13911.
Is 55644 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55644?
It is a composite number with 12 divisors.