The number 31671
31671 is a composite number with 20 divisors. Its prime factorisation is × 17 × 23. Divisors (20): 1, 3, 9, 17, 23, 27, 51, 69, 81, 153, 207, 391, 459, 621, 1173, 1377 … 31671.
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How to work it out
- 1
31671 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31671 is composite. Its prime factorisation is
- 3
The divisors add up to 52272; without 31671 itself that is 20601, so 31671 is deficient (20601 is less than 31671). Euler's totient φ(31671) = 19008 numbers up to 31671 share no factor with it.
- 4
The digits of 31671 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31671 = 3^{4} \times 17 \times 23 \]31671 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 52272 |
| Euler totient φ(n) | 19008 |
| Square | 1003052241 |
| Cube | 31767667524711 |
| Square root | 177.963479 (= 9√391) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1671 × |
31671 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and seventy-one |
| Binary (base 2) | 111101110110111 |
| Octal (base 8) | 75667 |
| Hexadecimal (base 16) | 7BB7 |
| Base 3 | 1121110000 |
| As time | 31671 seconds = 8 h 47 min 51 s |
Is 31671 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 (31671 ÷ 3 = 10557) | 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 3) | 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 (31671 ÷ 9 = 3519) | 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 2) | 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 31671 a prime number?
No. 31671 = × 17 × 23, so it is divisible by 3.
What are the factors of 31671?
1, 3, 9, 17, 23, 27, 51, 69, 81, 153, 207, 391, 459, 621, 1173, 1377, 1863, 3519, 10557, 31671.
What is 31671 in binary?
111101110110111 (hexadecimal 7BB7, octal 75667).
What is the square root of 31671?
About 177.9635, exactly 9√391.
Is 31671 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31671?
It is a composite number with 20 divisors.