The number 96007
96007 is a composite number with 8 divisors. Its prime factorisation is 19 × 31 × 163. Divisors (8): 1, 19, 31, 163, 589, 3097, 5053, 96007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
96007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96007 is composite. Its prime factorisation is
- 3
The divisors add up to 104960; without 96007 itself that is 8953, so 96007 is deficient (8953 is less than 96007). Euler's totient φ(96007) = 87480 numbers up to 96007 share no factor with it.
- 4
The digits of 96007 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96007 = 19 \times 31 \times 163 \]
96007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104960 |
| Euler totient φ(n) | 87480 |
| Square | 9217344049 |
| Cube | 884929550112343 |
| Square root | 309.849964 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 221 |
| Scientific notation | 9.6007 × |
96007 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand and seven |
| Binary (base 2) | 10111011100000111 |
| Octal (base 8) | 273407 |
| Hexadecimal (base 16) | 17707 |
| Base 3 | 11212200211 |
| As time | 96007 seconds = 26 h 40 min 7 s |
Is 96007 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96007 a prime number?
No. 96007 = 19 × 31 × 163, so it is divisible by 19.
What are the factors of 96007?
1, 19, 31, 163, 589, 3097, 5053, 96007.
What is 96007 in binary?
10111011100000111 (hexadecimal 17707, octal 273407).
What is the square root of 96007?
About 309.8500.
Is 96007 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 96007?
It is a composite number with 8 divisors.