The number 97971
97971 is a composite number with 12 divisors. Its prime factorisation is 3 × × 113. Divisors (12): 1, 3, 17, 51, 113, 289, 339, 867, 1921, 5763, 32657, 97971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97971 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97971 is composite. Its prime factorisation is
- 3
The divisors add up to 139992; without 97971 itself that is 42021, so 97971 is deficient (42021 is less than 97971). Euler's totient φ(97971) = 60928 numbers up to 97971 share no factor with it.
- 4
The digits of 97971 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97971 = 3 \times 17^{2} \times 113 \]97971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 139992 |
| Euler totient φ(n) | 60928 |
| Square | 9598316841 |
| Cube | 940356699229611 |
| Square root | 313.003195 (= 17√339) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7971 × |
97971 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and seventy-one |
| Binary (base 2) | 10111111010110011 |
| Octal (base 8) | 277263 |
| Hexadecimal (base 16) | 17EB3 |
| Base 3 | 11222101120 |
| As time | 97971 seconds = 27 h 12 min 51 s |
Is 97971 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 (97971 ÷ 3 = 32657) | 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 6) | 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 6) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97971 a prime number?
No. 97971 = 3 × × 113, so it is divisible by 3.
What are the factors of 97971?
1, 3, 17, 51, 113, 289, 339, 867, 1921, 5763, 32657, 97971.
What is 97971 in binary?
10111111010110011 (hexadecimal 17EB3, octal 277263).
What is the square root of 97971?
About 313.0032, exactly 17√339.
Is 97971 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 97971?
It is a composite number with 12 divisors.