The number 96448
96448 is a composite number with 28 divisors. Its prime factorisation is × 11 × 137. Divisors (28): 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 137, 176, 274, 352, 548 … 96448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
96448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96448 is composite. Its prime factorisation is
- 3
The divisors add up to 210312; without 96448 itself that is 113864, so 96448 is abundant (113864 is more than 96448). Euler's totient φ(96448) = 43520 numbers up to 96448 share no factor with it.
- 4
The digits of 96448 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 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96448 = 2^{6} \times 11 \times 137 \]96448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 210312 |
| Euler totient φ(n) | 43520 |
| Square | 9302216704 |
| Cube | 897180196667392 |
| Square root | 310.560783 (= 8√1507) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 27 |
| Scientific notation | 9.6448 × |
96448 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand four hundred and forty-eight |
| Binary (base 2) | 10111100011000000 |
| Octal (base 8) | 274300 |
| Hexadecimal (base 16) | 178C0 |
| Base 3 | 11220022011 |
| As time | 96448 seconds = 26 h 47 min 28 s |
Is 96448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96448 ÷ 2 = 48224) | 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 (96448 ÷ 4 = 24112) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 2) | 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 (96448 ÷ 8 = 12056) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (96448 ÷ 11 = 8768) | 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 96448 a prime number?
No. 96448 = × 11 × 137, so it is divisible by 2.
What are the factors of 96448?
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 137, 176, 274, 352, 548, 704, 1096, 1507, 2192, 3014, 4384, 6028, 8768, 12056, 24112, 48224, 96448.
What is 96448 in binary?
10111100011000000 (hexadecimal 178C0, octal 274300).
What is the square root of 96448?
About 310.5608, exactly 8√1507.
Is 96448 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 96448?
It is a composite number with 28 divisors.