The number 97024
97024 is a composite number with 18 divisors. Its prime factorisation is × 379. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 256, 379, 758, 1516, 3032, 6064, 12128, 24256 … 97024.
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How to work it out
- 1
97024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97024 is composite. Its prime factorisation is
- 3
The divisors add up to 194180; without 97024 itself that is 97156, so 97024 is abundant (97156 is more than 97024). Euler's totient φ(97024) = 48384 numbers up to 97024 share no factor with it.
- 4
The digits of 97024 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97024 = 2^{8} \times 379 \]97024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 194180 |
| Euler totient φ(n) | 48384 |
| Square | 9413656576 |
| Cube | 913350615629824 |
| Square root | 311.486757 (= 16√379) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7024 × |
97024 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and twenty-four |
| Binary (base 2) | 10111101100000000 |
| Octal (base 8) | 275400 |
| Hexadecimal (base 16) | 17B00 |
| Base 3 | 11221002111 |
| As time | 97024 seconds = 26 h 57 min 4 s |
Is 97024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97024 ÷ 2 = 48512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97024 ÷ 4 = 24256) | 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 4) | 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 | Yes (97024 ÷ 8 = 12128) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97024 a prime number?
No. 97024 = × 379, so it is divisible by 2.
What are the factors of 97024?
1, 2, 4, 8, 16, 32, 64, 128, 256, 379, 758, 1516, 3032, 6064, 12128, 24256, 48512, 97024.
What is 97024 in binary?
10111101100000000 (hexadecimal 17B00, octal 275400).
What is the square root of 97024?
About 311.4868, exactly 16√379.
Is 97024 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 97024?
It is a composite number with 18 divisors.