The number 97564
97564 is a composite number with 6 divisors. Its prime factorisation is × 24391. Divisors (6): 1, 2, 4, 24391, 48782, 97564.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97564 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97564 is composite. Its prime factorisation is
- 3
The divisors add up to 170744; without 97564 itself that is 73180, so 97564 is deficient (73180 is less than 97564). Euler's totient φ(97564) = 48780 numbers up to 97564 share no factor with it.
- 4
The digits of 97564 add up to 31, 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
\[ 97564 = 2^{2} \times 24391 \]97564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 170744 |
| Euler totient φ(n) | 48780 |
| Square | 9518734096 |
| Cube | 928685773342144 |
| Square root | 312.352365 (= 2√24391) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7564 × |
97564 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand five hundred and sixty-four |
| Binary (base 2) | 10111110100011100 |
| Octal (base 8) | 276434 |
| Hexadecimal (base 16) | 17D1C |
| Base 3 | 11221211111 |
| As time | 97564 seconds = 27 h 6 min 4 s |
Is 97564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97564 ÷ 2 = 48782) | 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 (97564 ÷ 4 = 24391) | 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 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 | No (remainder 4) | 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 5) | 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 97564 a prime number?
No. 97564 = × 24391, so it is divisible by 2.
What are the factors of 97564?
1, 2, 4, 24391, 48782, 97564.
What is 97564 in binary?
10111110100011100 (hexadecimal 17D1C, octal 276434).
What is the square root of 97564?
About 312.3524, exactly 2√24391.
Is 97564 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97564?
It is a composite number with 6 divisors.