The number 97137
97137 is a composite number with 12 divisors. Its prime factorisation is × 43 × 251. Divisors (12): 1, 3, 9, 43, 129, 251, 387, 753, 2259, 10793, 32379, 97137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97137 is composite. Its prime factorisation is
- 3
The divisors add up to 144144; without 97137 itself that is 47007, so 97137 is deficient (47007 is less than 97137). Euler's totient φ(97137) = 63000 numbers up to 97137 share no factor with it.
- 4
The digits of 97137 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97137 = 3^{2} \times 43 \times 251 \]97137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 144144 |
| Euler totient φ(n) | 63000 |
| Square | 9435596769 |
| Cube | 916545563350353 |
| Square root | 311.668093 (= 3√10793) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7137 × |
97137 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and thirty-seven |
| Binary (base 2) | 10111101101110001 |
| Octal (base 8) | 275561 |
| Hexadecimal (base 16) | 17B71 |
| Base 3 | 11221020200 |
| As time | 97137 seconds = 26 h 58 min 57 s |
Is 97137 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 | Yes (97137 ÷ 3 = 32379) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97137 ÷ 9 = 10793) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97137 a prime number?
No. 97137 = × 43 × 251, so it is divisible by 3.
What are the factors of 97137?
1, 3, 9, 43, 129, 251, 387, 753, 2259, 10793, 32379, 97137.
What is 97137 in binary?
10111101101110001 (hexadecimal 17B71, octal 275561).
What is the square root of 97137?
About 311.6681, exactly 3√10793.
Is 97137 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97137?
It is a composite number with 12 divisors.