The number 42804
42804 is a composite number with 36 divisors. Its prime factorisation is × × 29 × 41. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 41, 58, 82, 87, 116, 123 … 42804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42804: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42804 is composite. Its prime factorisation is
- 3
The divisors add up to 114660; without 42804 itself that is 71856, so 42804 is abundant (71856 is more than 42804). Euler's totient φ(42804) = 13440 numbers up to 42804 share no factor with it.
- 4
The digits of 42804 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42804 = 2^{2} \times 3^{2} \times 29 \times 41 \]42804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 114660 |
| Euler totient φ(n) | 13440 |
| Square | 1832182416 |
| Cube | 78424736134464 |
| Square root | 206.891276 (= 6√1189) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2804 × |
42804 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and four |
| Binary (base 2) | 1010011100110100 |
| Octal (base 8) | 123464 |
| Hexadecimal (base 16) | A734 |
| Base 3 | 2011201100 |
| As time | 42804 seconds = 11 h 53 min 24 s |
Is 42804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42804 ÷ 2 = 21402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42804 ÷ 3 = 14268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42804 ÷ 4 = 10701) | 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 (42804 ÷ 6 = 7134) | 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 | Yes (42804 ÷ 9 = 4756) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42804 ÷ 12 = 3567) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42804 a prime number?
No. 42804 = × × 29 × 41, so it is divisible by 2.
What are the factors of 42804?
1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 41, 58, 82, 87, 116, 123, 164, 174, 246, 261, 348, 369, 492, 522, 738, 1044, 1189, 1476, 2378, 3567, 4756, 7134, 10701, 14268, 21402, 42804.
What is 42804 in binary?
1010011100110100 (hexadecimal A734, octal 123464).
What is the square root of 42804?
About 206.8913, exactly 6√1189.
Is 42804 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42804?
42804 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.