The number 92004
92004 is a composite number with 48 divisors. Its prime factorisation is × 3 × 11 × 17 × 41. Divisors (48): 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 41, 44, 51, 66, 68 … 92004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
92004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
92004 is composite. Its prime factorisation is
- 3
The divisors add up to 254016; without 92004 itself that is 162012, so 92004 is abundant (162012 is more than 92004). Euler's totient φ(92004) = 25600 numbers up to 92004 share no factor with it.
- 4
The digits of 92004 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 92004 = 2^{2} \times 3 \times 11 \times 17 \times 41 \]92004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 254016 |
| Euler totient φ(n) | 25600 |
| Square | 8464736016 |
| Cube | 778789572416064 |
| Square root | 303.321611 (= 2√23001) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 9.2004 × |
92004 in other forms
| Form | Value |
|---|---|
| In words | ninety-two thousand and four |
| Binary (base 2) | 10110011101100100 |
| Octal (base 8) | 263544 |
| Hexadecimal (base 16) | 16764 |
| Base 3 | 11200012120 |
| As time | 92004 seconds = 25 h 33 min 24 s |
Is 92004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (92004 ÷ 2 = 46002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (92004 ÷ 3 = 30668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (92004 ÷ 4 = 23001) | 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 | Yes (92004 ÷ 6 = 15334) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (92004 ÷ 11 = 8364) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (92004 ÷ 12 = 7667) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 92004 a prime number?
No. 92004 = × 3 × 11 × 17 × 41, so it is divisible by 2.
What are the factors of 92004?
1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 41, 44, 51, 66, 68, 82, 102, 123, 132, 164, 187, 204, 246, 374, 451, 492, 561, 697, 748, 902, 1122, 1353, 1394, 1804, 2091, 2244, 2706, 2788, 4182, 5412, 7667, 8364, 15334, 23001, 30668, 46002, 92004.
What is 92004 in binary?
10110011101100100 (hexadecimal 16764, octal 263544).
What is the square root of 92004?
About 303.3216, exactly 2√23001.
Is 92004 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 92004?
It is a composite number with 48 divisors.