The number 97997
97997 is a composite number with 6 divisors. Its prime factorisation is Ć 53. Divisors (6): 1, 43, 53, 1849, 2279, 97997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97997 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97997 is composite. Its prime factorisation is
- 3
The divisors add up to 102222; without 97997 itself that is 4225, so 97997 is deficient (4225 is less than 97997). Euler's totient Ļ(97997) = 93912 numbers up to 97997 share no factor with it.
- 4
The digits of 97997 add up to 41, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97997 = 43^{2} \times 53 \]97997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 102222 |
| Euler totient Ļ(n) | 93912 |
| Square | 9603412009 |
| Cube | 941105566645973 |
| Square root | 313.044725 (= 43ā53) |
| Digit sum / digital root | 41 / 5 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.7997 Ć |
97997 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and ninety-seven |
| Binary (base 2) | 10111111011001101 |
| Octal (base 8) | 277315 |
| Hexadecimal (base 16) | 17ECD |
| Base 3 | 11222102112 |
| As time | 97997 seconds = 27 h 13 min 17 s |
Is 97997 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 | 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 5) | 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 | No (remainder 9) | 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 97997 a prime number?
No. 97997 = Ć 53, so it is divisible by 43.
What are the factors of 97997?
1, 43, 53, 1849, 2279, 97997.
What is 97997 in binary?
10111111011001101 (hexadecimal 17ECD, octal 277315).
What is the square root of 97997?
About 313.0447, exactly 43ā53.
Is 97997 divisible by 3?
No. Its digits add up to 41, which is not a multiple of 3.
What is special about the number 97997?
It is a composite number with 6 divisors.