The number 55521
55521 is a composite number with 12 divisors. Its prime factorisation is × 31 × 199. Divisors (12): 1, 3, 9, 31, 93, 199, 279, 597, 1791, 6169, 18507, 55521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55521 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55521 is composite. Its prime factorisation is
- 3
The divisors add up to 83200; without 55521 itself that is 27679, so 55521 is deficient (27679 is less than 55521). Euler's totient φ(55521) = 35640 numbers up to 55521 share no factor with it.
- 4
The digits of 55521 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 259 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55521 = 3^{2} \times 31 \times 199 \]55521 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83200 |
| Euler totient φ(n) | 35640 |
| Square | 3082581441 |
| Cube | 171148004185761 |
| Square root | 235.628946 (= 3√6169) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 259 |
| Scientific notation | 5.5521 × |
55521 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and twenty-one |
| Binary (base 2) | 1101100011100001 |
| Octal (base 8) | 154341 |
| Hexadecimal (base 16) | D8E1 |
| Base 3 | 2211011100 |
| As time | 55521 seconds = 15 h 25 min 21 s |
Is 55521 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 (55521 ÷ 3 = 18507) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (55521 ÷ 9 = 6169) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55521 a prime number?
No. 55521 = × 31 × 199, so it is divisible by 3.
What are the factors of 55521?
1, 3, 9, 31, 93, 199, 279, 597, 1791, 6169, 18507, 55521.
What is 55521 in binary?
1101100011100001 (hexadecimal D8E1, octal 154341).
What is the square root of 55521?
About 235.6289, exactly 3√6169.
Is 55521 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55521?
It is a composite number with 12 divisors.