The number 2223
2223 is a composite number with 12 divisors. Its prime factorisation is × 13 × 19. Divisors (12): 1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 741, 2223.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2223: a Harshad number: divisible by its digit sum 9.
- 2
2223 is composite. Its prime factorisation is
- 3
The divisors add up to 3640; without 2223 itself that is 1417, so 2223 is deficient (1417 is less than 2223). Euler's totient φ(2223) = 1296 numbers up to 2223 share no factor with it.
- 4
The digits of 2223 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2223 = 3^{2} \times 13 \times 19 \]2223 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3640 |
| Euler totient φ(n) | 1296 |
| Square | 4941729 |
| Cube | 10985463567 |
| Square root | 47.148701 (= 3√247) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 2.223 × |
2223 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and twenty-three |
| Roman numerals | MMCCXXIII |
| Binary (base 2) | 100010101111 |
| Octal (base 8) | 4257 |
| Hexadecimal (base 16) | 8AF |
| Base 3 | 10001100 |
| As time | 2223 seconds = 37 min 3 s |
Is 2223 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 (2223 ÷ 3 = 741) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2223 ÷ 9 = 247) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2223 a prime number?
No. 2223 = × 13 × 19, so it is divisible by 3.
What are the factors of 2223?
1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 741, 2223.
What is 2223 in binary?
100010101111 (hexadecimal 8AF, octal 4257).
What is the square root of 2223?
About 47.1487, exactly 3√247.
What is 2223 in Roman numerals?
MMCCXXIII.
Is 2223 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2223?
2223 is a Harshad number: divisible by its digit sum 9.