The number 52221
52221 is a composite number with 12 divisors. Its prime factorisation is 3 × × 103. Divisors (12): 1, 3, 13, 39, 103, 169, 309, 507, 1339, 4017, 17407, 52221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52221 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52221 is composite. Its prime factorisation is
- 3
The divisors add up to 76128; without 52221 itself that is 23907, so 52221 is deficient (23907 is less than 52221). Euler's totient φ(52221) = 31824 numbers up to 52221 share no factor with it.
- 4
The digits of 52221 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52221 = 3 \times 13^{2} \times 103 \]52221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76128 |
| Euler totient φ(n) | 31824 |
| Square | 2727032841 |
| Cube | 142408381989861 |
| Square root | 228.519146 (= 13√309) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.2221 × |
52221 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand two hundred and twenty-one |
| Binary (base 2) | 1100101111111101 |
| Octal (base 8) | 145775 |
| Hexadecimal (base 16) | CBFD |
| Base 3 | 2122122010 |
| As time | 52221 seconds = 14 h 30 min 21 s |
Is 52221 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 (52221 ÷ 3 = 17407) | 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 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 5) | 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 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 52221 a prime number?
No. 52221 = 3 × × 103, so it is divisible by 3.
What are the factors of 52221?
1, 3, 13, 39, 103, 169, 309, 507, 1339, 4017, 17407, 52221.
What is 52221 in binary?
1100101111111101 (hexadecimal CBFD, octal 145775).
What is the square root of 52221?
About 228.5191, exactly 13√309.
Is 52221 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 52221?
It is a composite number with 12 divisors.