The number 13243
13243 is a composite number with 8 divisors. Its prime factorisation is 17 × 19 × 41. Divisors (8): 1, 17, 19, 41, 323, 697, 779, 13243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13243 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13243 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 13243 itself that is 1877, so 13243 is deficient (1877 is less than 13243). Euler's totient φ(13243) = 11520 numbers up to 13243 share no factor with it.
- 4
The digits of 13243 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13243 = 17 \times 19 \times 41 \]
13243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 11520 |
| Square | 175377049 |
| Cube | 2322518259907 |
| Square root | 115.078234 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3243 × |
13243 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and forty-three |
| Binary (base 2) | 11001110111011 |
| Octal (base 8) | 31673 |
| Hexadecimal (base 16) | 33BB |
| Base 3 | 200011111 |
| As time | 13243 seconds = 3 h 40 min 43 s |
Is 13243 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 6) | 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 4) | 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 10) | 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 13243 a prime number?
No. 13243 = 17 × 19 × 41, so it is divisible by 17.
What are the factors of 13243?
1, 17, 19, 41, 323, 697, 779, 13243.
What is 13243 in binary?
11001110111011 (hexadecimal 33BB, octal 31673).
What is the square root of 13243?
About 115.0782.
Is 13243 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13243?
It is a composite number with 8 divisors.