The number 96996
96996 is a composite number with 24 divisors. Its prime factorisation is × 3 × 59 × 137. Divisors (24): 1, 2, 3, 4, 6, 12, 59, 118, 137, 177, 236, 274, 354, 411, 548, 708 … 96996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
96996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96996 is composite. Its prime factorisation is
- 3
The divisors add up to 231840; without 96996 itself that is 134844, so 96996 is abundant (134844 is more than 96996). Euler's totient φ(96996) = 31552 numbers up to 96996 share no factor with it.
- 4
The digits of 96996 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96996 = 2^{2} \times 3 \times 59 \times 137 \]96996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 231840 |
| Euler totient φ(n) | 31552 |
| Square | 9408224016 |
| Cube | 912560096655936 |
| Square root | 311.441808 (= 2√24249) |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.6996 × |
96996 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand nine hundred and ninety-six |
| Binary (base 2) | 10111101011100100 |
| Octal (base 8) | 275344 |
| Hexadecimal (base 16) | 17AE4 |
| Base 3 | 11221001110 |
| As time | 96996 seconds = 26 h 56 min 36 s |
Is 96996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96996 ÷ 2 = 48498) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96996 ÷ 3 = 32332) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96996 ÷ 4 = 24249) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (96996 ÷ 6 = 16166) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (96996 ÷ 12 = 8083) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96996 a prime number?
No. 96996 = × 3 × 59 × 137, so it is divisible by 2.
What are the factors of 96996?
1, 2, 3, 4, 6, 12, 59, 118, 137, 177, 236, 274, 354, 411, 548, 708, 822, 1644, 8083, 16166, 24249, 32332, 48498, 96996.
What is 96996 in binary?
10111101011100100 (hexadecimal 17AE4, octal 275344).
What is the square root of 96996?
About 311.4418, exactly 2√24249.
Is 96996 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 96996?
It is a composite number with 24 divisors.