The number 42388
42388 is a composite number with 6 divisors. Its prime factorisation is × 10597. Divisors (6): 1, 2, 4, 10597, 21194, 42388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42388 is composite. Its prime factorisation is
- 3
The divisors add up to 74186; without 42388 itself that is 31798, so 42388 is deficient (31798 is less than 42388). Euler's totient φ(42388) = 21192 numbers up to 42388 share no factor with it.
- 4
The digits of 42388 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42388 = 2^{2} \times 10597 \]42388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 74186 |
| Euler totient φ(n) | 21192 |
| Square | 1796742544 |
| Cube | 76160322955072 |
| Square root | 205.883462 (= 2√10597) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2388 × |
42388 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and eighty-eight |
| Binary (base 2) | 1010010110010100 |
| Octal (base 8) | 122624 |
| Hexadecimal (base 16) | A594 |
| Base 3 | 2011010221 |
| As time | 42388 seconds = 11 h 46 min 28 s |
Is 42388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42388 ÷ 2 = 21194) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42388 ÷ 4 = 10597) | 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 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42388 a prime number?
No. 42388 = × 10597, so it is divisible by 2.
What are the factors of 42388?
1, 2, 4, 10597, 21194, 42388.
What is 42388 in binary?
1010010110010100 (hexadecimal A594, octal 122624).
What is the square root of 42388?
About 205.8835, exactly 2√10597.
Is 42388 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42388?
It is a composite number with 6 divisors.