The number 42198
42198 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 541. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 541, 1082, 1623, 3246, 7033, 14066, 21099, 42198.
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How to work it out
- 1
42198 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42198 is composite. Its prime factorisation is
- 3
The divisors add up to 91056; without 42198 itself that is 48858, so 42198 is abundant (48858 is more than 42198). Euler's totient φ(42198) = 12960 numbers up to 42198 share no factor with it.
- 4
The digits of 42198 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42198 = 2 \times 3 \times 13 \times 541 \]
42198 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 91056 |
| Euler totient φ(n) | 12960 |
| Square | 1780671204 |
| Cube | 75140763466392 |
| Square root | 205.421518 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2198 × |
42198 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and ninety-eight |
| Binary (base 2) | 1010010011010110 |
| Octal (base 8) | 122326 |
| Hexadecimal (base 16) | A4D6 |
| Base 3 | 2010212220 |
| As time | 42198 seconds = 11 h 43 min 18 s |
Is 42198 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42198 ÷ 2 = 21099) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42198 ÷ 3 = 14066) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42198 ÷ 6 = 7033) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42198 a prime number?
No. 42198 = 2 × 3 × 13 × 541, so it is divisible by 2.
What are the factors of 42198?
1, 2, 3, 6, 13, 26, 39, 78, 541, 1082, 1623, 3246, 7033, 14066, 21099, 42198.
What is 42198 in binary?
1010010011010110 (hexadecimal A4D6, octal 122326).
What is the square root of 42198?
About 205.4215.
Is 42198 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42198?
It is a composite number with 16 divisors.