The number 13871
13871 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 97. Divisors (8): 1, 11, 13, 97, 143, 1067, 1261, 13871.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13871 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13871 is composite. Its prime factorisation is
- 3
The divisors add up to 16464; without 13871 itself that is 2593, so 13871 is deficient (2593 is less than 13871). Euler's totient φ(13871) = 11520 numbers up to 13871 share no factor with it.
- 4
The digits of 13871 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13871 = 11 \times 13 \times 97 \]
13871 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16464 |
| Euler totient φ(n) | 11520 |
| Square | 192404641 |
| Cube | 2668844775311 |
| Square root | 117.775210 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3871 × |
13871 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and seventy-one |
| Binary (base 2) | 11011000101111 |
| Octal (base 8) | 33057 |
| Hexadecimal (base 16) | 362F |
| Base 3 | 201000202 |
| As time | 13871 seconds = 3 h 51 min 11 s |
Is 13871 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 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 | 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 2) | 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 | Yes (13871 ÷ 11 = 1261) | 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 13871 a prime number?
No. 13871 = 11 × 13 × 97, so it is divisible by 11.
What are the factors of 13871?
1, 11, 13, 97, 143, 1067, 1261, 13871.
What is 13871 in binary?
11011000101111 (hexadecimal 362F, octal 33057).
What is the square root of 13871?
About 117.7752.
Is 13871 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13871?
It is a composite number with 8 divisors.