The number 13181
13181 is a composite number with 6 divisors. Its prime factorisation is Ć 269. Divisors (6): 1, 7, 49, 269, 1883, 13181.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13181 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13181 is composite. Its prime factorisation is
- 3
The divisors add up to 15390; without 13181 itself that is 2209, so 13181 is deficient (2209 is less than 13181). Euler's totient Ļ(13181) = 11256 numbers up to 13181 share no factor with it.
- 4
The digits of 13181 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13181 = 7^{2} \times 269 \]13181 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 15390 |
| Euler totient Ļ(n) | 11256 |
| Square | 173738761 |
| Cube | 2290050608741 |
| Square root | 114.808536 (= 7ā269) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3181 Ć |
13181 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and eighty-one |
| Binary (base 2) | 11001101111101 |
| Octal (base 8) | 31575 |
| Hexadecimal (base 16) | 337D |
| Base 3 | 200002012 |
| As time | 13181 seconds = 3 h 39 min 41 s |
Is 13181 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (13181 Ć· 7 = 1883) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13181 a prime number?
No. 13181 = Ć 269, so it is divisible by 7.
What are the factors of 13181?
1, 7, 49, 269, 1883, 13181.
What is 13181 in binary?
11001101111101 (hexadecimal 337D, octal 31575).
What is the square root of 13181?
About 114.8085, exactly 7ā269.
Is 13181 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13181?
It is a composite number with 6 divisors.