The number 97328
97328 is a composite number with 40 divisors. Its prime factorisation is × 7 × 11 × 79. Divisors (40): 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 79, 88, 112 … 97328.
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How to work it out
- 1
97328 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97328 is composite. Its prime factorisation is
- 3
The divisors add up to 238080; without 97328 itself that is 140752, so 97328 is abundant (140752 is more than 97328). Euler's totient φ(97328) = 37440 numbers up to 97328 share no factor with it.
- 4
The digits of 97328 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97328 = 2^{4} \times 7 \times 11 \times 79 \]97328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 238080 |
| Euler totient φ(n) | 37440 |
| Square | 9472739584 |
| Cube | 921962798231552 |
| Square root | 311.974358 (= 4√6083) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7328 × |
97328 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and twenty-eight |
| Binary (base 2) | 10111110000110000 |
| Octal (base 8) | 276060 |
| Hexadecimal (base 16) | 17C30 |
| Base 3 | 11221111202 |
| As time | 97328 seconds = 27 h 2 min 8 s |
Is 97328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97328 ÷ 2 = 48664) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97328 ÷ 4 = 24332) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97328 ÷ 7 = 13904) | 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 | Yes (97328 ÷ 8 = 12166) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97328 ÷ 11 = 8848) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97328 a prime number?
No. 97328 = × 7 × 11 × 79, so it is divisible by 2.
What are the factors of 97328?
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 79, 88, 112, 154, 158, 176, 308, 316, 553, 616, 632, 869, 1106, 1232, 1264, 1738, 2212, 3476, 4424, 6083, 6952, 8848, 12166, 13904, 24332, 48664, 97328.
What is 97328 in binary?
10111110000110000 (hexadecimal 17C30, octal 276060).
What is the square root of 97328?
About 311.9744, exactly 4√6083.
Is 97328 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97328?
It is a composite number with 40 divisors.