The number 97123
97123 is a composite number with 8 divisors. Its prime factorisation is 13 × 31 × 241. Divisors (8): 1, 13, 31, 241, 403, 3133, 7471, 97123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97123 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97123 is composite. Its prime factorisation is
- 3
The divisors add up to 108416; without 97123 itself that is 11293, so 97123 is deficient (11293 is less than 97123). Euler's totient φ(97123) = 86400 numbers up to 97123 share no factor with it.
- 4
The digits of 97123 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97123 = 13 \times 31 \times 241 \]
97123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 108416 |
| Euler totient φ(n) | 86400 |
| Square | 9432877129 |
| Cube | 916149325399867 |
| Square root | 311.645632 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7123 × |
97123 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and twenty-three |
| Binary (base 2) | 10111101101100011 |
| Octal (base 8) | 275543 |
| Hexadecimal (base 16) | 17B63 |
| Base 3 | 11221020011 |
| As time | 97123 seconds = 26 h 58 min 43 s |
Is 97123 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97123 a prime number?
No. 97123 = 13 × 31 × 241, so it is divisible by 13.
What are the factors of 97123?
1, 13, 31, 241, 403, 3133, 7471, 97123.
What is 97123 in binary?
10111101101100011 (hexadecimal 17B63, octal 275543).
What is the square root of 97123?
About 311.6456.
Is 97123 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 97123?
It is a composite number with 8 divisors.