The number 96738
96738 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 701. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 138, 701, 1402, 2103, 4206, 16123, 32246, 48369, 96738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96738: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
96738 is composite. Its prime factorisation is
- 3
The divisors add up to 202176; without 96738 itself that is 105438, so 96738 is abundant (105438 is more than 96738). Euler's totient φ(96738) = 30800 numbers up to 96738 share no factor with it.
- 4
The digits of 96738 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96738 = 2 \times 3 \times 23 \times 701 \]
96738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 202176 |
| Euler totient φ(n) | 30800 |
| Square | 9358240644 |
| Cube | 905297483419272 |
| Square root | 311.027330 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.6738 × |
96738 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand seven hundred and thirty-eight |
| Binary (base 2) | 10111100111100010 |
| Octal (base 8) | 274742 |
| Hexadecimal (base 16) | 179E2 |
| Base 3 | 11220200220 |
| As time | 96738 seconds = 26 h 52 min 18 s |
Is 96738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96738 ÷ 2 = 48369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96738 ÷ 3 = 32246) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (96738 ÷ 6 = 16123) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96738 a prime number?
No. 96738 = 2 × 3 × 23 × 701, so it is divisible by 2.
What are the factors of 96738?
1, 2, 3, 6, 23, 46, 69, 138, 701, 1402, 2103, 4206, 16123, 32246, 48369, 96738.
What is 96738 in binary?
10111100111100010 (hexadecimal 179E2, octal 274742).
What is the square root of 96738?
About 311.0273.
Is 96738 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 96738?
96738 is a happy number: repeatedly adding the squares of its digits reaches 1.