The number 3971
3971 is a composite number with 6 divisors. Its prime factorisation is 11 Ć . Divisors (6): 1, 11, 19, 209, 361, 3971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3971 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3971 is composite. Its prime factorisation is
- 3
The divisors add up to 4572; without 3971 itself that is 601, so 3971 is deficient (601 is less than 3971). Euler's totient Ļ(3971) = 3420 numbers up to 3971 share no factor with it.
- 4
The digits of 3971 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 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3971 = 11 \times 19^{2} \]3971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4572 |
| Euler totient Ļ(n) | 3420 |
| Square | 15768841 |
| Cube | 62618067611 |
| Square root | 63.015871 (= 19ā11) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 51 |
| Scientific notation | 3.971 Ć |
3971 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and seventy-one |
| Roman numerals | MMMCMLXXI |
| Binary (base 2) | 111110000011 |
| Octal (base 8) | 7603 |
| Hexadecimal (base 16) | F83 |
| Base 3 | 12110002 |
| As time | 3971 seconds = 1 h 6 min 11 s |
Is 3971 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 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 3) | 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 (3971 Ć· 11 = 361) | 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 3971 a prime number?
No. 3971 = 11 Ć , so it is divisible by 11.
What are the factors of 3971?
1, 11, 19, 209, 361, 3971.
What is 3971 in binary?
111110000011 (hexadecimal F83, octal 7603).
What is the square root of 3971?
About 63.0159, exactly 19ā11.
What is 3971 in Roman numerals?
MMMCMLXXI.
Is 3971 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3971?
It is a composite number with 6 divisors.