The number 55323
55323 is a binary palindrome (1101100000011011). Its prime factorisation is × 683. Divisors (10): 1, 3, 9, 27, 81, 683, 2049, 6147, 18441, 55323.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55323: a binary palindrome (1101100000011011).
- 2
55323 is composite. Its prime factorisation is
- 3
The divisors add up to 82764; without 55323 itself that is 27441, so 55323 is deficient (27441 is less than 55323). Euler's totient φ(55323) = 36828 numbers up to 55323 share no factor with it.
- 4
The digits of 55323 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55323 = 3^{4} \times 683 \]55323 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 82764 |
| Euler totient φ(n) | 36828 |
| Square | 3060634329 |
| Cube | 169323472983267 |
| Square root | 235.208418 (= 9√683) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5323 × |
55323 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and twenty-three |
| Binary (base 2) | 1101100000011011 |
| Octal (base 8) | 154033 |
| Hexadecimal (base 16) | D81B |
| Base 3 | 2210220000 |
| As time | 55323 seconds = 15 h 22 min 3 s |
Is 55323 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55323 ÷ 3 = 18441) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55323 ÷ 9 = 6147) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55323 a prime number?
No. 55323 = × 683, so it is divisible by 3.
What are the factors of 55323?
1, 3, 9, 27, 81, 683, 2049, 6147, 18441, 55323.
What is 55323 in binary?
1101100000011011 (hexadecimal D81B, octal 154033).
What is the square root of 55323?
About 235.2084, exactly 9√683.
Is 55323 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55323?
55323 is a binary palindrome (1101100000011011).