The number 97101
97101 is a composite number with 6 divisors. Its prime factorisation is × 10789. Divisors (6): 1, 3, 9, 10789, 32367, 97101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97101 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97101 is composite. Its prime factorisation is
- 3
The divisors add up to 140270; without 97101 itself that is 43169, so 97101 is deficient (43169 is less than 97101). Euler's totient φ(97101) = 64728 numbers up to 97101 share no factor with it.
- 4
The digits of 97101 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97101 = 3^{2} \times 10789 \]97101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 140270 |
| Euler totient φ(n) | 64728 |
| Square | 9428604201 |
| Cube | 915526896521301 |
| Square root | 311.610334 (= 3√10789) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7101 × |
97101 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and one |
| Binary (base 2) | 10111101101001101 |
| Octal (base 8) | 275515 |
| Hexadecimal (base 16) | 17B4D |
| Base 3 | 11221012100 |
| As time | 97101 seconds = 26 h 58 min 21 s |
Is 97101 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 (97101 ÷ 3 = 32367) | 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 1) | 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 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 | Yes (97101 ÷ 9 = 10789) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97101 a prime number?
No. 97101 = × 10789, so it is divisible by 3.
What are the factors of 97101?
1, 3, 9, 10789, 32367, 97101.
What is 97101 in binary?
10111101101001101 (hexadecimal 17B4D, octal 275515).
What is the square root of 97101?
About 311.6103, exactly 3√10789.
Is 97101 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 97101?
It is a composite number with 6 divisors.