The number 42088
42088 is a composite number with 8 divisors. Its prime factorisation is × 5261. Divisors (8): 1, 2, 4, 8, 5261, 10522, 21044, 42088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42088 is composite. Its prime factorisation is
- 3
The divisors add up to 78930; without 42088 itself that is 36842, so 42088 is deficient (36842 is less than 42088). Euler's totient φ(42088) = 21040 numbers up to 42088 share no factor with it.
- 4
The digits of 42088 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42088 = 2^{3} \times 5261 \]42088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78930 |
| Euler totient φ(n) | 21040 |
| Square | 1771399744 |
| Cube | 74554672425472 |
| Square root | 205.153601 (= 2√10522) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2088 × |
42088 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and eighty-eight |
| Binary (base 2) | 1010010001101000 |
| Octal (base 8) | 122150 |
| Hexadecimal (base 16) | A468 |
| Base 3 | 2010201211 |
| As time | 42088 seconds = 11 h 41 min 28 s |
Is 42088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42088 ÷ 2 = 21044) | 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 (42088 ÷ 4 = 10522) | 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 4) | 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 (42088 ÷ 8 = 5261) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42088 a prime number?
No. 42088 = × 5261, so it is divisible by 2.
What are the factors of 42088?
1, 2, 4, 8, 5261, 10522, 21044, 42088.
What is 42088 in binary?
1010010001101000 (hexadecimal A468, octal 122150).
What is the square root of 42088?
About 205.1536, exactly 2√10522.
Is 42088 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42088?
It is a composite number with 8 divisors.