The number 96008
96008 is a composite number with 16 divisors. Its prime factorisation is × 11 × 1091. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 1091, 2182, 4364, 8728, 12001, 24002, 48004, 96008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
96008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96008 is composite. Its prime factorisation is
- 3
The divisors add up to 196560; without 96008 itself that is 100552, so 96008 is abundant (100552 is more than 96008). Euler's totient φ(96008) = 43600 numbers up to 96008 share no factor with it.
- 4
The digits of 96008 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96008 = 2^{3} \times 11 \times 1091 \]96008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 196560 |
| Euler totient φ(n) | 43600 |
| Square | 9217536064 |
| Cube | 884957202432512 |
| Square root | 309.851577 (= 2√24002) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.6008 × |
96008 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand and eight |
| Binary (base 2) | 10111011100001000 |
| Octal (base 8) | 273410 |
| Hexadecimal (base 16) | 17708 |
| Base 3 | 11212200212 |
| As time | 96008 seconds = 26 h 40 min 8 s |
Is 96008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96008 ÷ 2 = 48004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96008 ÷ 4 = 24002) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (96008 ÷ 8 = 12001) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (96008 ÷ 11 = 8728) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96008 a prime number?
No. 96008 = × 11 × 1091, so it is divisible by 2.
What are the factors of 96008?
1, 2, 4, 8, 11, 22, 44, 88, 1091, 2182, 4364, 8728, 12001, 24002, 48004, 96008.
What is 96008 in binary?
10111011100001000 (hexadecimal 17708, octal 273410).
What is the square root of 96008?
About 309.8516, exactly 2√24002.
Is 96008 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 96008?
It is a composite number with 16 divisors.