The number 96004
96004 is a composite number with 6 divisors. Its prime factorisation is × 24001. Divisors (6): 1, 2, 4, 24001, 48002, 96004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96004: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
96004 is composite. Its prime factorisation is
- 3
The divisors add up to 168014; without 96004 itself that is 72010, so 96004 is deficient (72010 is less than 96004). Euler's totient φ(96004) = 48000 numbers up to 96004 share no factor with it.
- 4
The digits of 96004 add up to 19, 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
\[ 96004 = 2^{2} \times 24001 \]96004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 168014 |
| Euler totient φ(n) | 48000 |
| Square | 9216768016 |
| Cube | 884846596608064 |
| Square root | 309.845123 (= 2√24001) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.6004 × |
96004 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand and four |
| Binary (base 2) | 10111011100000100 |
| Octal (base 8) | 273404 |
| Hexadecimal (base 16) | 17704 |
| Base 3 | 11212200201 |
| As time | 96004 seconds = 26 h 40 min 4 s |
Is 96004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96004 ÷ 2 = 48002) | 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 (96004 ÷ 4 = 24001) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 96004 a prime number?
No. 96004 = × 24001, so it is divisible by 2.
What are the factors of 96004?
1, 2, 4, 24001, 48002, 96004.
What is 96004 in binary?
10111011100000100 (hexadecimal 17704, octal 273404).
What is the square root of 96004?
About 309.8451, exactly 2√24001.
Is 96004 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 96004?
96004 is a happy number: repeatedly adding the squares of its digits reaches 1.