The number 97704
97704 is a composite number with 48 divisors. Its prime factorisation is × × 23 × 59. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 59, 69, 72 … 97704.
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How to work it out
- 1
97704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97704 is composite. Its prime factorisation is
- 3
The divisors add up to 280800; without 97704 itself that is 183096, so 97704 is abundant (183096 is more than 97704). Euler's totient φ(97704) = 30624 numbers up to 97704 share no factor with it.
- 4
The digits of 97704 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
\[ 97704 = 2^{3} \times 3^{2} \times 23 \times 59 \]97704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 280800 |
| Euler totient φ(n) | 30624 |
| Square | 9546071616 |
| Cube | 932689381169664 |
| Square root | 312.576391 (= 6√2714) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7704 × |
97704 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and four |
| Binary (base 2) | 10111110110101000 |
| Octal (base 8) | 276650 |
| Hexadecimal (base 16) | 17DA8 |
| Base 3 | 11222000200 |
| As time | 97704 seconds = 27 h 8 min 24 s |
Is 97704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97704 ÷ 2 = 48852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97704 ÷ 3 = 32568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97704 ÷ 4 = 24426) | 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 (97704 ÷ 6 = 16284) | 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 | Yes (97704 ÷ 8 = 12213) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97704 ÷ 9 = 10856) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97704 ÷ 12 = 8142) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97704 a prime number?
No. 97704 = × × 23 × 59, so it is divisible by 2.
What are the factors of 97704?
1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 59, 69, 72, 92, 118, 138, 177, 184, 207, 236, 276, 354, 414, 472, 531, 552, 708, 828, 1062, 1357, 1416, 1656, 2124, 2714, 4071, 4248, 5428, 8142, 10856, 12213, 16284, 24426, 32568, 48852, 97704.
What is 97704 in binary?
10111110110101000 (hexadecimal 17DA8, octal 276650).
What is the square root of 97704?
About 312.5764, exactly 6√2714.
Is 97704 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97704?
It is a composite number with 48 divisors.