The number 96976
96976 is a composite number with 40 divisors. Its prime factorisation is × 11 × 19 × 29. Divisors (40): 1, 2, 4, 8, 11, 16, 19, 22, 29, 38, 44, 58, 76, 88, 116, 152 … 96976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
96976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96976 is composite. Its prime factorisation is
- 3
The divisors add up to 223200; without 96976 itself that is 126224, so 96976 is abundant (126224 is more than 96976). Euler's totient φ(96976) = 40320 numbers up to 96976 share no factor with it.
- 4
The digits of 96976 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96976 = 2^{4} \times 11 \times 19 \times 29 \]96976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 223200 |
| Euler totient φ(n) | 40320 |
| Square | 9404344576 |
| Cube | 911995719602176 |
| Square root | 311.409698 (= 4√6061) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.6976 × |
96976 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand nine hundred and seventy-six |
| Binary (base 2) | 10111101011010000 |
| Octal (base 8) | 275320 |
| Hexadecimal (base 16) | 17AD0 |
| Base 3 | 11221000201 |
| As time | 96976 seconds = 26 h 56 min 16 s |
Is 96976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96976 ÷ 2 = 48488) | 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 (96976 ÷ 4 = 24244) | 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 | No (remainder 4) | 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 | Yes (96976 ÷ 8 = 12122) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (96976 ÷ 11 = 8816) | 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 96976 a prime number?
No. 96976 = × 11 × 19 × 29, so it is divisible by 2.
What are the factors of 96976?
1, 2, 4, 8, 11, 16, 19, 22, 29, 38, 44, 58, 76, 88, 116, 152, 176, 209, 232, 304, 319, 418, 464, 551, 638, 836, 1102, 1276, 1672, 2204, 2552, 3344, 4408, 5104, 6061, 8816, 12122, 24244, 48488, 96976.
What is 96976 in binary?
10111101011010000 (hexadecimal 17AD0, octal 275320).
What is the square root of 96976?
About 311.4097, exactly 4√6061.
Is 96976 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 96976?
It is a composite number with 40 divisors.