The number 323
323 is a palindrome: it reads 323 backwards too. Its prime factorisation is 17 × 19. Divisors (4): 1, 17, 19, 323.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 323: a palindrome: it reads 323 backwards too; a semiprime: 17 × 19, the product of two primes.
- 2
323 is composite. Its prime factorisation is
- 3
The divisors add up to 360; without 323 itself that is 37, so 323 is deficient (37 is less than 323). Euler's totient φ(323) = 288 numbers up to 323 share no factor with it.
- 4
The digits of 323 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 323 = 17 \times 19 \]
323 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 360 |
| Euler totient φ(n) | 288 |
| Square | 104329 |
| Cube | 33698267 |
| Square root | 17.972201 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 99 |
| Scientific notation | 3.23 × |
323 in other forms
| Form | Value |
|---|---|
| In words | three hundred and twenty-three |
| Roman numerals | CCCXXIII |
| Binary (base 2) | 101000011 |
| Octal (base 8) | 503 |
| Hexadecimal (base 16) | 143 |
| Base 3 | 102222 |
| As time | 323 seconds = 5 min 23 s |
Is 323 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 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 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 3) | 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 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 323 a prime number?
No. 323 = 17 × 19, so it is divisible by 17.
What are the factors of 323?
1, 17, 19, 323.
What is 323 in binary?
101000011 (hexadecimal 143, octal 503).
What is the square root of 323?
About 17.9722.
What is 323 in Roman numerals?
CCCXXIII.
Is 323 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 323?
323 is a palindrome: it reads 323 backwards too; a semiprime: 17 × 19, the product of two primes.