The number 3221
3221 is the 456th prime number. Its only divisors are 1 and 3221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3221: the 456th prime number.
- 2
3221 is prime, so its only factors are 1 and 3221. It is the 456th prime; the next prime is 3229 and the one before is 3217.
- 3
The divisors add up to 3222; without 3221 itself that is 1, so 3221 is deficient (1 is less than 3221). Euler's totient φ(3221) = 3220 numbers up to 3221 share no factor with it.
- 4
The digits of 3221 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
3221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3222 |
| Euler totient φ(n) | 3220 |
| Square | 10374841 |
| Cube | 33417362861 |
| Square root | 56.753854 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.221 × |
3221 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and twenty-one |
| Roman numerals | MMMCCXXI |
| Binary (base 2) | 110010010101 |
| Octal (base 8) | 6225 |
| Hexadecimal (base 16) | C95 |
| Base 3 | 11102022 |
| As time | 3221 seconds = 53 min 41 s |
Is 3221 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 2) | 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 5) | 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 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3221 a prime number?
Yes. 3221 is divisible only by 1 and itself.
What are the factors of 3221?
1, 3221.
What is 3221 in binary?
110010010101 (hexadecimal C95, octal 6225).
What is the square root of 3221?
About 56.7539.
What is 3221 in Roman numerals?
MMMCCXXI.
Is 3221 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 3221?
3221 is the 456th prime number.