The number 97097
97097 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 13 × 97. Divisors (16): 1, 7, 11, 13, 77, 91, 97, 143, 679, 1001, 1067, 1261, 7469, 8827, 13871, 97097.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97097 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97097 is composite. Its prime factorisation is
- 3
The divisors add up to 131712; without 97097 itself that is 34615, so 97097 is deficient (34615 is less than 97097). Euler's totient φ(97097) = 69120 numbers up to 97097 share no factor with it.
- 4
The digits of 97097 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97097 = 7 \times 11 \times 13 \times 97 \]
97097 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131712 |
| Euler totient φ(n) | 69120 |
| Square | 9427827409 |
| Cube | 915413757931673 |
| Square root | 311.603915 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7097 × |
97097 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and ninety-seven |
| Binary (base 2) | 10111101101001001 |
| Octal (base 8) | 275511 |
| Hexadecimal (base 16) | 17B49 |
| Base 3 | 11221012012 |
| As time | 97097 seconds = 26 h 58 min 17 s |
Is 97097 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (97097 ÷ 7 = 13871) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97097 ÷ 11 = 8827) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97097 a prime number?
No. 97097 = 7 × 11 × 13 × 97, so it is divisible by 7.
What are the factors of 97097?
1, 7, 11, 13, 77, 91, 97, 143, 679, 1001, 1067, 1261, 7469, 8827, 13871, 97097.
What is 97097 in binary?
10111101101001001 (hexadecimal 17B49, octal 275511).
What is the square root of 97097?
About 311.6039.
Is 97097 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 97097?
It is a composite number with 16 divisors.