The number 42488
42488 is a composite number with 16 divisors. Its prime factorisation is × 47 × 113. Divisors (16): 1, 2, 4, 8, 47, 94, 113, 188, 226, 376, 452, 904, 5311, 10622, 21244, 42488.
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How to work it out
- 1
42488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42488 is composite. Its prime factorisation is
- 3
The divisors add up to 82080; without 42488 itself that is 39592, so 42488 is deficient (39592 is less than 42488). Euler's totient φ(42488) = 20608 numbers up to 42488 share no factor with it.
- 4
The digits of 42488 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42488 = 2^{3} \times 47 \times 113 \]42488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82080 |
| Euler totient φ(n) | 20608 |
| Square | 1805230144 |
| Cube | 76700618358272 |
| Square root | 206.126175 (= 2√10622) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2488 × |
42488 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and eighty-eight |
| Binary (base 2) | 1010010111111000 |
| Octal (base 8) | 122770 |
| Hexadecimal (base 16) | A5F8 |
| Base 3 | 2011021122 |
| As time | 42488 seconds = 11 h 48 min 8 s |
Is 42488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42488 ÷ 2 = 21244) | 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 | Yes (42488 ÷ 4 = 10622) | 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 5) | 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 (42488 ÷ 8 = 5311) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42488 a prime number?
No. 42488 = × 47 × 113, so it is divisible by 2.
What are the factors of 42488?
1, 2, 4, 8, 47, 94, 113, 188, 226, 376, 452, 904, 5311, 10622, 21244, 42488.
What is 42488 in binary?
1010010111111000 (hexadecimal A5F8, octal 122770).
What is the square root of 42488?
About 206.1262, exactly 2√10622.
Is 42488 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 42488?
It is a composite number with 16 divisors.