The number 97164
97164 is a composite number with 18 divisors. Its prime factorisation is × × 2699. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2699, 5398, 8097, 10796, 16194, 24291, 32388 … 97164.
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How to work it out
- 1
97164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97164 is composite. Its prime factorisation is
- 3
The divisors add up to 245700; without 97164 itself that is 148536, so 97164 is abundant (148536 is more than 97164). Euler's totient φ(97164) = 32376 numbers up to 97164 share no factor with it.
- 4
The digits of 97164 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97164 = 2^{2} \times 3^{2} \times 2699 \]97164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 245700 |
| Euler totient φ(n) | 32376 |
| Square | 9440842896 |
| Cube | 917310059146944 |
| Square root | 311.711405 (= 6√2699) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7164 × |
97164 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and sixty-four |
| Binary (base 2) | 10111101110001100 |
| Octal (base 8) | 275614 |
| Hexadecimal (base 16) | 17B8C |
| Base 3 | 11221021200 |
| As time | 97164 seconds = 26 h 59 min 24 s |
Is 97164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97164 ÷ 2 = 48582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97164 ÷ 3 = 32388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97164 ÷ 4 = 24291) | 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 | Yes (97164 ÷ 6 = 16194) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97164 ÷ 9 = 10796) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97164 ÷ 12 = 8097) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97164 a prime number?
No. 97164 = × × 2699, so it is divisible by 2.
What are the factors of 97164?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2699, 5398, 8097, 10796, 16194, 24291, 32388, 48582, 97164.
What is 97164 in binary?
10111101110001100 (hexadecimal 17B8C, octal 275614).
What is the square root of 97164?
About 311.7114, exactly 6√2699.
Is 97164 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97164?
It is a composite number with 18 divisors.