The number 97163
97163 is a composite number with 8 divisors. Its prime factorisation is Ć 73. Divisors (8): 1, 11, 73, 121, 803, 1331, 8833, 97163.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97163: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97163 is composite. Its prime factorisation is
- 3
The divisors add up to 108336; without 97163 itself that is 11173, so 97163 is deficient (11173 is less than 97163). Euler's totient Ļ(97163) = 87120 numbers up to 97163 share no factor with it.
- 4
The digits of 97163 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 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97163 = 11^{3} \times 73 \]97163 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 108336 |
| Euler totient Ļ(n) | 87120 |
| Square | 9440648569 |
| Cube | 917281736909747 |
| Square root | 311.709801 (= 11ā803) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 177 |
| Scientific notation | 9.7163 Ć |
97163 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and sixty-three |
| Binary (base 2) | 10111101110001011 |
| Octal (base 8) | 275613 |
| Hexadecimal (base 16) | 17B8B |
| Base 3 | 11221021122 |
| As time | 97163 seconds = 26 h 59 min 23 s |
Is 97163 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97163 Ć· 11 = 8833) | 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 97163 a prime number?
No. 97163 = Ć 73, so it is divisible by 11.
What are the factors of 97163?
1, 11, 73, 121, 803, 1331, 8833, 97163.
What is 97163 in binary?
10111101110001011 (hexadecimal 17B8B, octal 275613).
What is the square root of 97163?
About 311.7098, exactly 11ā803.
Is 97163 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 97163?
97163 is a happy number: repeatedly adding the squares of its digits reaches 1.