The number 97209
97209 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1543. Divisors (12): 1, 3, 7, 9, 21, 63, 1543, 4629, 10801, 13887, 32403, 97209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97209 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97209 is composite. Its prime factorisation is
- 3
The divisors add up to 160576; without 97209 itself that is 63367, so 97209 is deficient (63367 is less than 97209). Euler's totient φ(97209) = 55512 numbers up to 97209 share no factor with it.
- 4
The digits of 97209 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97209 = 3^{2} \times 7 \times 1543 \]97209 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 160576 |
| Euler totient φ(n) | 55512 |
| Square | 9449589681 |
| Cube | 918585163300329 |
| Square root | 311.783579 (= 3√10801) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.7209 × |
97209 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and nine |
| Binary (base 2) | 10111101110111001 |
| Octal (base 8) | 275671 |
| Hexadecimal (base 16) | 17BB9 |
| Base 3 | 11221100100 |
| As time | 97209 seconds = 27 h 0 min 9 s |
Is 97209 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 (97209 ÷ 3 = 32403) | 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 4) | 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 | Yes (97209 ÷ 7 = 13887) | 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 (97209 ÷ 9 = 10801) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 97209 a prime number?
No. 97209 = × 7 × 1543, so it is divisible by 3.
What are the factors of 97209?
1, 3, 7, 9, 21, 63, 1543, 4629, 10801, 13887, 32403, 97209.
What is 97209 in binary?
10111101110111001 (hexadecimal 17BB9, octal 275671).
What is the square root of 97209?
About 311.7836, exactly 3√10801.
Is 97209 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97209?
It is a composite number with 12 divisors.