The number 97076
97076 is a composite number with 12 divisors. Its prime factorisation is × 7 × 3467. Divisors (12): 1, 2, 4, 7, 14, 28, 3467, 6934, 13868, 24269, 48538, 97076.
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How to work it out
- 1
97076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97076 is composite. Its prime factorisation is
- 3
The divisors add up to 194208; without 97076 itself that is 97132, so 97076 is abundant (97132 is more than 97076). Euler's totient φ(97076) = 41592 numbers up to 97076 share no factor with it.
- 4
The digits of 97076 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 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97076 = 2^{2} \times 7 \times 3467 \]97076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 194208 |
| Euler totient φ(n) | 41592 |
| Square | 9423749776 |
| Cube | 914819933254976 |
| Square root | 311.570217 (= 2√24269) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 27 |
| Scientific notation | 9.7076 × |
97076 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and seventy-six |
| Binary (base 2) | 10111101100110100 |
| Octal (base 8) | 275464 |
| Hexadecimal (base 16) | 17B34 |
| Base 3 | 11221011102 |
| As time | 97076 seconds = 26 h 57 min 56 s |
Is 97076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97076 ÷ 2 = 48538) | 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 (97076 ÷ 4 = 24269) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (97076 ÷ 7 = 13868) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97076 a prime number?
No. 97076 = × 7 × 3467, so it is divisible by 2.
What are the factors of 97076?
1, 2, 4, 7, 14, 28, 3467, 6934, 13868, 24269, 48538, 97076.
What is 97076 in binary?
10111101100110100 (hexadecimal 17B34, octal 275464).
What is the square root of 97076?
About 311.5702, exactly 2√24269.
Is 97076 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97076?
It is a composite number with 12 divisors.