The number 9971
9971 is a composite number with 6 divisors. Its prime factorisation is Ć 59. Divisors (6): 1, 13, 59, 169, 767, 9971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9971 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9971 is composite. Its prime factorisation is
- 3
The divisors add up to 10980; without 9971 itself that is 1009, so 9971 is deficient (1009 is less than 9971). Euler's totient Ļ(9971) = 9048 numbers up to 9971 share no factor with it.
- 4
The digits of 9971 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9971 = 13^{2} \times 59 \]9971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 10980 |
| Euler totient Ļ(n) | 9048 |
| Square | 99420841 |
| Cube | 991325205611 |
| Square root | 99.854895 (= 13ā59) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 117 |
| Scientific notation | 9.971 Ć |
9971 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and seventy-one |
| Binary (base 2) | 10011011110011 |
| Octal (base 8) | 23363 |
| Hexadecimal (base 16) | 26F3 |
| Base 3 | 111200022 |
| As time | 9971 seconds = 2 h 46 min 11 s |
Is 9971 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 9971 a prime number?
No. 9971 = Ć 59, so it is divisible by 13.
What are the factors of 9971?
1, 13, 59, 169, 767, 9971.
What is 9971 in binary?
10011011110011 (hexadecimal 26F3, octal 23363).
What is the square root of 9971?
About 99.8549, exactly 13ā59.
Is 9971 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9971?
It is a composite number with 6 divisors.