The number 55321
55321 is a composite number with 6 divisors. Its prime factorisation is Ć 1129. Divisors (6): 1, 7, 49, 1129, 7903, 55321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55321 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55321 is composite. Its prime factorisation is
- 3
The divisors add up to 64410; without 55321 itself that is 9089, so 55321 is deficient (9089 is less than 55321). Euler's totient Ļ(55321) = 47376 numbers up to 55321 share no factor with it.
- 4
The digits of 55321 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55321 = 7^{2} \times 1129 \]55321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 64410 |
| Euler totient Ļ(n) | 47376 |
| Square | 3060413041 |
| Cube | 169305109841161 |
| Square root | 235.204167 (= 7ā1129) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5321 Ć |
55321 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and twenty-one |
| Binary (base 2) | 1101100000011001 |
| Octal (base 8) | 154031 |
| Hexadecimal (base 16) | D819 |
| Base 3 | 2210212221 |
| As time | 55321 seconds = 15 h 22 min 1 s |
Is 55321 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55321 Ć· 7 = 7903) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55321 a prime number?
No. 55321 = Ć 1129, so it is divisible by 7.
What are the factors of 55321?
1, 7, 49, 1129, 7903, 55321.
What is 55321 in binary?
1101100000011001 (hexadecimal D819, octal 154031).
What is the square root of 55321?
About 235.2042, exactly 7ā1129.
Is 55321 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55321?
It is a composite number with 6 divisors.