The number 97404
97404 is a composite number with 12 divisors. Its prime factorisation is × 3 × 8117. Divisors (12): 1, 2, 3, 4, 6, 12, 8117, 16234, 24351, 32468, 48702, 97404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97404 is composite. Its prime factorisation is
- 3
The divisors add up to 227304; without 97404 itself that is 129900, so 97404 is abundant (129900 is more than 97404). Euler's totient φ(97404) = 32464 numbers up to 97404 share no factor with it.
- 4
The digits of 97404 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97404 = 2^{2} \times 3 \times 8117 \]97404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 227304 |
| Euler totient φ(n) | 32464 |
| Square | 9487539216 |
| Cube | 924124269795264 |
| Square root | 312.096139 (= 2√24351) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7404 × |
97404 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and four |
| Binary (base 2) | 10111110001111100 |
| Octal (base 8) | 276174 |
| Hexadecimal (base 16) | 17C7C |
| Base 3 | 11221121120 |
| As time | 97404 seconds = 27 h 3 min 24 s |
Is 97404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97404 ÷ 2 = 48702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97404 ÷ 3 = 32468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97404 ÷ 4 = 24351) | 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 (97404 ÷ 6 = 16234) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97404 ÷ 12 = 8117) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97404 a prime number?
No. 97404 = × 3 × 8117, so it is divisible by 2.
What are the factors of 97404?
1, 2, 3, 4, 6, 12, 8117, 16234, 24351, 32468, 48702, 97404.
What is 97404 in binary?
10111110001111100 (hexadecimal 17C7C, octal 276174).
What is the square root of 97404?
About 312.0961, exactly 2√24351.
Is 97404 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 97404?
It is a composite number with 12 divisors.