The number 96748
96748 is a composite number with 18 divisors. Its prime factorisation is × × 67. Divisors (18): 1, 2, 4, 19, 38, 67, 76, 134, 268, 361, 722, 1273, 1444, 2546, 5092, 24187 … 96748.
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How to work it out
- 1
96748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96748 is composite. Its prime factorisation is
- 3
The divisors add up to 181356; without 96748 itself that is 84608, so 96748 is deficient (84608 is less than 96748). Euler's totient φ(96748) = 45144 numbers up to 96748 share no factor with it.
- 4
The digits of 96748 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96748 = 2^{2} \times 19^{2} \times 67 \]96748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 181356 |
| Euler totient φ(n) | 45144 |
| Square | 9360175504 |
| Cube | 905578259660992 |
| Square root | 311.043405 (= 38√67) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.6748 × |
96748 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand seven hundred and forty-eight |
| Binary (base 2) | 10111100111101100 |
| Octal (base 8) | 274754 |
| Hexadecimal (base 16) | 179EC |
| Base 3 | 11220201021 |
| As time | 96748 seconds = 26 h 52 min 28 s |
Is 96748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96748 ÷ 2 = 48374) | 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 (96748 ÷ 4 = 24187) | 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 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 7) | 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 | No (remainder 3) | 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 96748 a prime number?
No. 96748 = × × 67, so it is divisible by 2.
What are the factors of 96748?
1, 2, 4, 19, 38, 67, 76, 134, 268, 361, 722, 1273, 1444, 2546, 5092, 24187, 48374, 96748.
What is 96748 in binary?
10111100111101100 (hexadecimal 179EC, octal 274754).
What is the square root of 96748?
About 311.0434, exactly 38√67.
Is 96748 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 96748?
It is a composite number with 18 divisors.