The number 97264
97264 is a composite number with 10 divisors. Its prime factorisation is × 6079. Divisors (10): 1, 2, 4, 8, 16, 6079, 12158, 24316, 48632, 97264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97264 is composite. Its prime factorisation is
- 3
The divisors add up to 188480; without 97264 itself that is 91216, so 97264 is deficient (91216 is less than 97264). Euler's totient φ(97264) = 48624 numbers up to 97264 share no factor with it.
- 4
The digits of 97264 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97264 = 2^{4} \times 6079 \]97264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 188480 |
| Euler totient φ(n) | 48624 |
| Square | 9460285696 |
| Cube | 920145227935744 |
| Square root | 311.871769 (= 4√6079) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.7264 × |
97264 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and sixty-four |
| Binary (base 2) | 10111101111110000 |
| Octal (base 8) | 275760 |
| Hexadecimal (base 16) | 17BF0 |
| Base 3 | 11221102101 |
| As time | 97264 seconds = 27 h 1 min 4 s |
Is 97264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97264 ÷ 2 = 48632) | 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 (97264 ÷ 4 = 24316) | 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 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 | Yes (97264 ÷ 8 = 12158) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | 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 97264 a prime number?
No. 97264 = × 6079, so it is divisible by 2.
What are the factors of 97264?
1, 2, 4, 8, 16, 6079, 12158, 24316, 48632, 97264.
What is 97264 in binary?
10111101111110000 (hexadecimal 17BF0, octal 275760).
What is the square root of 97264?
About 311.8718, exactly 4√6079.
Is 97264 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 97264?
It is a composite number with 10 divisors.