The number 13323
13323 is a binary palindrome (11010000001011). Its prime factorisation is 3 × 4441. Divisors (4): 1, 3, 4441, 13323.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13323: a binary palindrome (11010000001011); a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 4441, the product of two primes.
- 2
13323 is composite. Its prime factorisation is
- 3
The divisors add up to 17768; without 13323 itself that is 4445, so 13323 is deficient (4445 is less than 13323). Euler's totient φ(13323) = 8880 numbers up to 13323 share no factor with it.
- 4
The digits of 13323 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13323 = 3 \times 4441 \]
13323 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17768 |
| Euler totient φ(n) | 8880 |
| Square | 177502329 |
| Cube | 2364863529267 |
| Square root | 115.425301 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3323 × |
13323 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and twenty-three |
| Binary (base 2) | 11010000001011 |
| Octal (base 8) | 32013 |
| Hexadecimal (base 16) | 340B |
| Base 3 | 200021110 |
| As time | 13323 seconds = 3 h 42 min 3 s |
Is 13323 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 (13323 ÷ 3 = 4441) | 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 2) | 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 3) | 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 2) | 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 13323 a prime number?
No. 13323 = 3 × 4441, so it is divisible by 3.
What are the factors of 13323?
1, 3, 4441, 13323.
What is 13323 in binary?
11010000001011 (hexadecimal 340B, octal 32013).
What is the square root of 13323?
About 115.4253.
Is 13323 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13323?
13323 is a binary palindrome (11010000001011); a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 4441, the product of two primes.