The number 13143
13143 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 337. Divisors (8): 1, 3, 13, 39, 337, 1011, 4381, 13143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13143 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13143 is composite. Its prime factorisation is
- 3
The divisors add up to 18928; without 13143 itself that is 5785, so 13143 is deficient (5785 is less than 13143). Euler's totient φ(13143) = 8064 numbers up to 13143 share no factor with it.
- 4
The digits of 13143 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13143 = 3 \times 13 \times 337 \]
13143 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18928 |
| Euler totient φ(n) | 8064 |
| Square | 172738449 |
| Cube | 2270301435207 |
| Square root | 114.642924 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3143 × |
13143 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and forty-three |
| Binary (base 2) | 11001101010111 |
| Octal (base 8) | 31527 |
| Hexadecimal (base 16) | 3357 |
| Base 3 | 200000210 |
| As time | 13143 seconds = 3 h 39 min 3 s |
Is 13143 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 (13143 ÷ 3 = 4381) | 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 4) | 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 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 9) | 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 13143 a prime number?
No. 13143 = 3 × 13 × 337, so it is divisible by 3.
What are the factors of 13143?
1, 3, 13, 39, 337, 1011, 4381, 13143.
What is 13143 in binary?
11001101010111 (hexadecimal 3357, octal 31527).
What is the square root of 13143?
About 114.6429.
Is 13143 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13143?
It is a composite number with 8 divisors.