The number 97364
97364 is a composite number with 12 divisors. Its prime factorisation is × 101 × 241. Divisors (12): 1, 2, 4, 101, 202, 241, 404, 482, 964, 24341, 48682, 97364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97364 is composite. Its prime factorisation is
- 3
The divisors add up to 172788; without 97364 itself that is 75424, so 97364 is deficient (75424 is less than 97364). Euler's totient φ(97364) = 48000 numbers up to 97364 share no factor with it.
- 4
The digits of 97364 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97364 = 2^{2} \times 101 \times 241 \]97364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 172788 |
| Euler totient φ(n) | 48000 |
| Square | 9479748496 |
| Cube | 922986232564544 |
| Square root | 312.032050 (= 2√24341) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.7364 × |
97364 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and sixty-four |
| Binary (base 2) | 10111110001010100 |
| Octal (base 8) | 276124 |
| Hexadecimal (base 16) | 17C54 |
| Base 3 | 11221120002 |
| As time | 97364 seconds = 27 h 2 min 44 s |
Is 97364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97364 ÷ 2 = 48682) | 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 (97364 ÷ 4 = 24341) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 97364 a prime number?
No. 97364 = × 101 × 241, so it is divisible by 2.
What are the factors of 97364?
1, 2, 4, 101, 202, 241, 404, 482, 964, 24341, 48682, 97364.
What is 97364 in binary?
10111110001010100 (hexadecimal 17C54, octal 276124).
What is the square root of 97364?
About 312.0320, exactly 2√24341.
Is 97364 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97364?
It is a composite number with 12 divisors.