The number 42404
42404 is a composite number with 6 divisors. Its prime factorisation is × 10601. Divisors (6): 1, 2, 4, 10601, 21202, 42404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42404 is composite. Its prime factorisation is
- 3
The divisors add up to 74214; without 42404 itself that is 31810, so 42404 is deficient (31810 is less than 42404). Euler's totient φ(42404) = 21200 numbers up to 42404 share no factor with it.
- 4
The digits of 42404 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42404 = 2^{2} \times 10601 \]42404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 74214 |
| Euler totient φ(n) | 21200 |
| Square | 1798099216 |
| Cube | 76246599155264 |
| Square root | 205.922315 (= 2√10601) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2404 × |
42404 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and four |
| Binary (base 2) | 1010010110100100 |
| Octal (base 8) | 122644 |
| Hexadecimal (base 16) | A5A4 |
| Base 3 | 2011011112 |
| As time | 42404 seconds = 11 h 46 min 44 s |
Is 42404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42404 ÷ 2 = 21202) | 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 (42404 ÷ 4 = 10601) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 42404 a prime number?
No. 42404 = × 10601, so it is divisible by 2.
What are the factors of 42404?
1, 2, 4, 10601, 21202, 42404.
What is 42404 in binary?
1010010110100100 (hexadecimal A5A4, octal 122644).
What is the square root of 42404?
About 205.9223, exactly 2√10601.
Is 42404 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42404?
It is a composite number with 6 divisors.