The number 97108
97108 is a composite number with 12 divisors. Its prime factorisation is × 11 × 2207. Divisors (12): 1, 2, 4, 11, 22, 44, 2207, 4414, 8828, 24277, 48554, 97108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97108 is composite. Its prime factorisation is
- 3
The divisors add up to 185472; without 97108 itself that is 88364, so 97108 is deficient (88364 is less than 97108). Euler's totient φ(97108) = 44120 numbers up to 97108 share no factor with it.
- 4
The digits of 97108 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97108 = 2^{2} \times 11 \times 2207 \]97108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 185472 |
| Euler totient φ(n) | 44120 |
| Square | 9429963664 |
| Cube | 915724911483712 |
| Square root | 311.621565 (= 2√24277) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7108 × |
97108 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and eight |
| Binary (base 2) | 10111101101010100 |
| Octal (base 8) | 275524 |
| Hexadecimal (base 16) | 17B54 |
| Base 3 | 11221012121 |
| As time | 97108 seconds = 26 h 58 min 28 s |
Is 97108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97108 ÷ 2 = 48554) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97108 ÷ 4 = 24277) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97108 ÷ 11 = 8828) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97108 a prime number?
No. 97108 = × 11 × 2207, so it is divisible by 2.
What are the factors of 97108?
1, 2, 4, 11, 22, 44, 2207, 4414, 8828, 24277, 48554, 97108.
What is 97108 in binary?
10111101101010100 (hexadecimal 17B54, octal 275524).
What is the square root of 97108?
About 311.6216, exactly 2√24277.
Is 97108 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 97108?
It is a composite number with 12 divisors.