The number 32221
32221 is a composite number with 4 divisors. Its prime factorisation is 7 × 4603. Divisors (4): 1, 7, 4603, 32221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32221: a semiprime: 7 × 4603, the product of two primes.
- 2
32221 is composite. Its prime factorisation is
- 3
The divisors add up to 36832; without 32221 itself that is 4611, so 32221 is deficient (4611 is less than 32221). Euler's totient φ(32221) = 27612 numbers up to 32221 share no factor with it.
- 4
The digits of 32221 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32221 = 7 \times 4603 \]
32221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36832 |
| Euler totient φ(n) | 27612 |
| Square | 1038192841 |
| Cube | 33451611529861 |
| Square root | 179.502089 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.2221 × |
32221 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and twenty-one |
| Binary (base 2) | 111110111011101 |
| Octal (base 8) | 76735 |
| Hexadecimal (base 16) | 7DDD |
| Base 3 | 1122012101 |
| As time | 32221 seconds = 8 h 57 min 1 s |
Is 32221 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 (32221 ÷ 7 = 4603) | 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 1) | 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 32221 a prime number?
No. 32221 = 7 × 4603, so it is divisible by 7.
What are the factors of 32221?
1, 7, 4603, 32221.
What is 32221 in binary?
111110111011101 (hexadecimal 7DDD, octal 76735).
What is the square root of 32221?
About 179.5021.
Is 32221 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 32221?
32221 is a semiprime: 7 × 4603, the product of two primes.