The number 42398
42398 is a composite number with 16 divisors. Its prime factorisation is 2 × 17 × 29 × 43. Divisors (16): 1, 2, 17, 29, 34, 43, 58, 86, 493, 731, 986, 1247, 1462, 2494, 21199, 42398.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42398 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42398 is composite. Its prime factorisation is
- 3
The divisors add up to 71280; without 42398 itself that is 28882, so 42398 is deficient (28882 is less than 42398). Euler's totient φ(42398) = 18816 numbers up to 42398 share no factor with it.
- 4
The digits of 42398 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42398 = 2 \times 17 \times 29 \times 43 \]
42398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 71280 |
| Euler totient φ(n) | 18816 |
| Square | 1797590404 |
| Cube | 76214237948792 |
| Square root | 205.907746 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.2398 × |
42398 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and ninety-eight |
| Binary (base 2) | 1010010110011110 |
| Octal (base 8) | 122636 |
| Hexadecimal (base 16) | A59E |
| Base 3 | 2011011022 |
| As time | 42398 seconds = 11 h 46 min 38 s |
Is 42398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42398 ÷ 2 = 21199) | 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 | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 4) | 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 42398 a prime number?
No. 42398 = 2 × 17 × 29 × 43, so it is divisible by 2.
What are the factors of 42398?
1, 2, 17, 29, 34, 43, 58, 86, 493, 731, 986, 1247, 1462, 2494, 21199, 42398.
What is 42398 in binary?
1010010110011110 (hexadecimal A59E, octal 122636).
What is the square root of 42398?
About 205.9077.
Is 42398 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 42398?
It is a composite number with 16 divisors.