The number 42098
42098 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 31 × 97. Divisors (16): 1, 2, 7, 14, 31, 62, 97, 194, 217, 434, 679, 1358, 3007, 6014, 21049, 42098.
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How to work it out
- 1
42098 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42098 is composite. Its prime factorisation is
- 3
The divisors add up to 75264; without 42098 itself that is 33166, so 42098 is deficient (33166 is less than 42098). Euler's totient φ(42098) = 17280 numbers up to 42098 share no factor with it.
- 4
The digits of 42098 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42098 = 2 \times 7 \times 31 \times 97 \]
42098 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75264 |
| Euler totient φ(n) | 17280 |
| Square | 1772241604 |
| Cube | 74607827045192 |
| Square root | 205.177972 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.2098 × |
42098 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and ninety-eight |
| Binary (base 2) | 1010010001110010 |
| Octal (base 8) | 122162 |
| Hexadecimal (base 16) | A472 |
| Base 3 | 2010202012 |
| As time | 42098 seconds = 11 h 41 min 38 s |
Is 42098 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42098 ÷ 2 = 21049) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42098 ÷ 7 = 6014) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42098 a prime number?
No. 42098 = 2 × 7 × 31 × 97, so it is divisible by 2.
What are the factors of 42098?
1, 2, 7, 14, 31, 62, 97, 194, 217, 434, 679, 1358, 3007, 6014, 21049, 42098.
What is 42098 in binary?
1010010001110010 (hexadecimal A472, octal 122162).
What is the square root of 42098?
About 205.1780.
Is 42098 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42098?
It is a composite number with 16 divisors.