The number 42204
42204 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3517. Divisors (12): 1, 2, 3, 4, 6, 12, 3517, 7034, 10551, 14068, 21102, 42204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42204: a Harshad number: divisible by its digit sum 12.
- 2
42204 is composite. Its prime factorisation is
- 3
The divisors add up to 98504; without 42204 itself that is 56300, so 42204 is abundant (56300 is more than 42204). Euler's totient φ(42204) = 14064 numbers up to 42204 share no factor with it.
- 4
The digits of 42204 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42204 = 2^{2} \times 3 \times 3517 \]42204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98504 |
| Euler totient φ(n) | 14064 |
| Square | 1781177616 |
| Cube | 75172820105664 |
| Square root | 205.436121 (= 2√10551) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2204 × |
42204 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and four |
| Binary (base 2) | 1010010011011100 |
| Octal (base 8) | 122334 |
| Hexadecimal (base 16) | A4DC |
| Base 3 | 2010220010 |
| As time | 42204 seconds = 11 h 43 min 24 s |
Is 42204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42204 ÷ 2 = 21102) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42204 ÷ 3 = 14068) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42204 ÷ 4 = 10551) | 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 (42204 ÷ 6 = 7034) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42204 ÷ 12 = 3517) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42204 a prime number?
No. 42204 = × 3 × 3517, so it is divisible by 2.
What are the factors of 42204?
1, 2, 3, 4, 6, 12, 3517, 7034, 10551, 14068, 21102, 42204.
What is 42204 in binary?
1010010011011100 (hexadecimal A4DC, octal 122334).
What is the square root of 42204?
About 205.4361, exactly 2√10551.
Is 42204 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42204?
42204 is a Harshad number: divisible by its digit sum 12.