The number 3223
3223 is a palindrome: it reads 3223 backwards too. Its prime factorisation is 11 × 293. Divisors (4): 1, 11, 293, 3223.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3223: a palindrome: it reads 3223 backwards too; a semiprime: 11 × 293, the product of two primes.
- 2
3223 is composite. Its prime factorisation is
- 3
The divisors add up to 3528; without 3223 itself that is 305, so 3223 is deficient (305 is less than 3223). Euler's totient φ(3223) = 2920 numbers up to 3223 share no factor with it.
- 4
The digits of 3223 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 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3223 = 11 \times 293 \]
3223 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3528 |
| Euler totient φ(n) | 2920 |
| Square | 10387729 |
| Cube | 33479650567 |
| Square root | 56.771472 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.223 × |
3223 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and twenty-three |
| Roman numerals | MMMCCXXIII |
| Binary (base 2) | 110010010111 |
| Octal (base 8) | 6227 |
| Hexadecimal (base 16) | C97 |
| Base 3 | 11102101 |
| As time | 3223 seconds = 53 min 43 s |
Is 3223 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 3) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3223 ÷ 11 = 293) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3223 a prime number?
No. 3223 = 11 × 293, so it is divisible by 11.
What are the factors of 3223?
1, 11, 293, 3223.
What is 3223 in binary?
110010010111 (hexadecimal C97, octal 6227).
What is the square root of 3223?
About 56.7715.
What is 3223 in Roman numerals?
MMMCCXXIII.
Is 3223 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3223?
3223 is a palindrome: it reads 3223 backwards too; a semiprime: 11 × 293, the product of two primes.