The number 13071
13071 is a composite number with 4 divisors. Its prime factorisation is 3 × 4357. Divisors (4): 1, 3, 4357, 13071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13071: a semiprime: 3 × 4357, the product of two primes.
- 2
13071 is composite. Its prime factorisation is
- 3
The divisors add up to 17432; without 13071 itself that is 4361, so 13071 is deficient (4361 is less than 13071). Euler's totient φ(13071) = 8712 numbers up to 13071 share no factor with it.
- 4
The digits of 13071 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13071 = 3 \times 4357 \]
13071 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17432 |
| Euler totient φ(n) | 8712 |
| Square | 170851041 |
| Cube | 2233193956911 |
| Square root | 114.328474 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3071 × |
13071 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and seventy-one |
| Binary (base 2) | 11001100001111 |
| Octal (base 8) | 31417 |
| Hexadecimal (base 16) | 330F |
| Base 3 | 122221010 |
| As time | 13071 seconds = 3 h 37 min 51 s |
Is 13071 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 (13071 ÷ 3 = 4357) | 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 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 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13071 a prime number?
No. 13071 = 3 × 4357, so it is divisible by 3.
What are the factors of 13071?
1, 3, 4357, 13071.
What is 13071 in binary?
11001100001111 (hexadecimal 330F, octal 31417).
What is the square root of 13071?
About 114.3285.
Is 13071 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13071?
13071 is a semiprime: 3 × 4357, the product of two primes.