The number 13671
13671 is a composite number with 18 divisors. Its prime factorisation is × × 31. Divisors (18): 1, 3, 7, 9, 21, 31, 49, 63, 93, 147, 217, 279, 441, 651, 1519, 1953 … 13671.
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How to work it out
- 1
13671 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13671 is composite. Its prime factorisation is
- 3
The divisors add up to 23712; without 13671 itself that is 10041, so 13671 is deficient (10041 is less than 13671). Euler's totient φ(13671) = 7560 numbers up to 13671 share no factor with it.
- 4
The digits of 13671 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13671 = 3^{2} \times 7^{2} \times 31 \]13671 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 23712 |
| Euler totient φ(n) | 7560 |
| Square | 186896241 |
| Cube | 2555058510711 |
| Square root | 116.923052 (= 21√31) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3671 × |
13671 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and seventy-one |
| Binary (base 2) | 11010101100111 |
| Octal (base 8) | 32547 |
| Hexadecimal (base 16) | 3567 |
| Base 3 | 200202100 |
| As time | 13671 seconds = 3 h 47 min 51 s |
Is 13671 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 (13671 ÷ 3 = 4557) | 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 | Yes (13671 ÷ 7 = 1953) | 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 (13671 ÷ 9 = 1519) | 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 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 13671 a prime number?
No. 13671 = × × 31, so it is divisible by 3.
What are the factors of 13671?
1, 3, 7, 9, 21, 31, 49, 63, 93, 147, 217, 279, 441, 651, 1519, 1953, 4557, 13671.
What is 13671 in binary?
11010101100111 (hexadecimal 3567, octal 32547).
What is the square root of 13671?
About 116.9231, exactly 21√31.
Is 13671 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13671?
It is a composite number with 18 divisors.