The number 13743
13743 is a composite number with 8 divisors. Its prime factorisation is × 509. Divisors (8): 1, 3, 9, 27, 509, 1527, 4581, 13743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13743 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13743 is composite. Its prime factorisation is
- 3
The divisors add up to 20400; without 13743 itself that is 6657, so 13743 is deficient (6657 is less than 13743). Euler's totient φ(13743) = 9144 numbers up to 13743 share no factor with it.
- 4
The digits of 13743 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13743 = 3^{3} \times 509 \]13743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20400 |
| Euler totient φ(n) | 9144 |
| Square | 188870049 |
| Cube | 2595641083407 |
| Square root | 117.230542 (= 3√1527) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 213 |
| Scientific notation | 1.3743 × |
13743 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and forty-three |
| Binary (base 2) | 11010110101111 |
| Octal (base 8) | 32657 |
| Hexadecimal (base 16) | 35AF |
| Base 3 | 200212000 |
| As time | 13743 seconds = 3 h 49 min 3 s |
Is 13743 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 (13743 ÷ 3 = 4581) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13743 ÷ 9 = 1527) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13743 a prime number?
No. 13743 = × 509, so it is divisible by 3.
What are the factors of 13743?
1, 3, 9, 27, 509, 1527, 4581, 13743.
What is 13743 in binary?
11010110101111 (hexadecimal 35AF, octal 32657).
What is the square root of 13743?
About 117.2305, exactly 3√1527.
Is 13743 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13743?
It is a composite number with 8 divisors.