The number 97731
97731 is a composite number with 6 divisors. Its prime factorisation is × 10859. Divisors (6): 1, 3, 9, 10859, 32577, 97731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97731 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97731 is composite. Its prime factorisation is
- 3
The divisors add up to 141180; without 97731 itself that is 43449, so 97731 is deficient (43449 is less than 97731). Euler's totient φ(97731) = 65148 numbers up to 97731 share no factor with it.
- 4
The digits of 97731 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97731 = 3^{2} \times 10859 \]97731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 141180 |
| Euler totient φ(n) | 65148 |
| Square | 9551348361 |
| Cube | 933462826668891 |
| Square root | 312.619577 (= 3√10859) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 221 |
| Scientific notation | 9.7731 × |
97731 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and thirty-one |
| Binary (base 2) | 10111110111000011 |
| Octal (base 8) | 276703 |
| Hexadecimal (base 16) | 17DC3 |
| Base 3 | 11222001200 |
| As time | 97731 seconds = 27 h 8 min 51 s |
Is 97731 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 (97731 ÷ 3 = 32577) | 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 4) | 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 | Yes (97731 ÷ 9 = 10859) | 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 7) | 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 97731 a prime number?
No. 97731 = × 10859, so it is divisible by 3.
What are the factors of 97731?
1, 3, 9, 10859, 32577, 97731.
What is 97731 in binary?
10111110111000011 (hexadecimal 17DC3, octal 276703).
What is the square root of 97731?
About 312.6196, exactly 3√10859.
Is 97731 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97731?
It is a composite number with 6 divisors.