The number 13223
13223 is a composite number with 4 divisors. Its prime factorisation is 7 × 1889. Divisors (4): 1, 7, 1889, 13223.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13223: a semiprime: 7 × 1889, the product of two primes.
- 2
13223 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 13223 itself that is 1897, so 13223 is deficient (1897 is less than 13223). Euler's totient φ(13223) = 11328 numbers up to 13223 share no factor with it.
- 4
The digits of 13223 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13223 = 7 \times 1889 \]
13223 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 11328 |
| Square | 174847729 |
| Cube | 2312011520567 |
| Square root | 114.991304 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.3223 × |
13223 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and twenty-three |
| Binary (base 2) | 11001110100111 |
| Octal (base 8) | 31647 |
| Hexadecimal (base 16) | 33A7 |
| Base 3 | 200010202 |
| As time | 13223 seconds = 3 h 40 min 23 s |
Is 13223 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 | Yes (13223 ÷ 7 = 1889) | 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 2) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13223 a prime number?
No. 13223 = 7 × 1889, so it is divisible by 7.
What are the factors of 13223?
1, 7, 1889, 13223.
What is 13223 in binary?
11001110100111 (hexadecimal 33A7, octal 31647).
What is the square root of 13223?
About 114.9913.
Is 13223 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13223?
13223 is a semiprime: 7 × 1889, the product of two primes.