The number 42192
42192 is a composite number with 30 divisors. Its prime factorisation is × × 293. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 293 … 42192.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42192: a Harshad number: divisible by its digit sum 18.
- 2
42192 is composite. Its prime factorisation is
- 3
The divisors add up to 118482; without 42192 itself that is 76290, so 42192 is abundant (76290 is more than 42192). Euler's totient φ(42192) = 14016 numbers up to 42192 share no factor with it.
- 4
The digits of 42192 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42192 = 2^{4} \times 3^{2} \times 293 \]42192 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 118482 |
| Euler totient φ(n) | 14016 |
| Square | 1780164864 |
| Cube | 75108715941888 |
| Square root | 205.406913 (= 12√293) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2192 × |
42192 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and ninety-two |
| Binary (base 2) | 1010010011010000 |
| Octal (base 8) | 122320 |
| Hexadecimal (base 16) | A4D0 |
| Base 3 | 2010212200 |
| As time | 42192 seconds = 11 h 43 min 12 s |
Is 42192 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42192 ÷ 2 = 21096) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42192 ÷ 3 = 14064) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42192 ÷ 4 = 10548) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42192 ÷ 6 = 7032) | 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 (42192 ÷ 8 = 5274) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42192 ÷ 9 = 4688) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (42192 ÷ 12 = 3516) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42192 a prime number?
No. 42192 = × × 293, so it is divisible by 2.
What are the factors of 42192?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 293, 586, 879, 1172, 1758, 2344, 2637, 3516, 4688, 5274, 7032, 10548, 14064, 21096, 42192.
What is 42192 in binary?
1010010011010000 (hexadecimal A4D0, octal 122320).
What is the square root of 42192?
About 205.4069, exactly 12√293.
Is 42192 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42192?
42192 is a Harshad number: divisible by its digit sum 18.