The number 96964
96964 is a composite number with 12 divisors. Its prime factorisation is × 7 × 3463. Divisors (12): 1, 2, 4, 7, 14, 28, 3463, 6926, 13852, 24241, 48482, 96964.
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How to work it out
- 1
96964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96964 is composite. Its prime factorisation is
- 3
The divisors add up to 193984; without 96964 itself that is 97020, so 96964 is abundant (97020 is more than 96964). Euler's totient φ(96964) = 41544 numbers up to 96964 share no factor with it.
- 4
The digits of 96964 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96964 = 2^{2} \times 7 \times 3463 \]96964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 193984 |
| Euler totient φ(n) | 41544 |
| Square | 9402017296 |
| Cube | 911657205089344 |
| Square root | 311.390430 (= 2√24241) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.6964 × |
96964 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand nine hundred and sixty-four |
| Binary (base 2) | 10111101011000100 |
| Octal (base 8) | 275304 |
| Hexadecimal (base 16) | 17AC4 |
| Base 3 | 11221000021 |
| As time | 96964 seconds = 26 h 56 min 4 s |
Is 96964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96964 ÷ 2 = 48482) | 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 (96964 ÷ 4 = 24241) | 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 | Yes (96964 ÷ 7 = 13852) | 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 7) | 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 10) | 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 96964 a prime number?
No. 96964 = × 7 × 3463, so it is divisible by 2.
What are the factors of 96964?
1, 2, 4, 7, 14, 28, 3463, 6926, 13852, 24241, 48482, 96964.
What is 96964 in binary?
10111101011000100 (hexadecimal 17AC4, octal 275304).
What is the square root of 96964?
About 311.3904, exactly 2√24241.
Is 96964 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 96964?
It is a composite number with 12 divisors.