The number 42004
42004 is a composite number with 6 divisors. Its prime factorisation is × 10501. Divisors (6): 1, 2, 4, 10501, 21002, 42004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42004 is composite. Its prime factorisation is
- 3
The divisors add up to 73514; without 42004 itself that is 31510, so 42004 is deficient (31510 is less than 42004). Euler's totient φ(42004) = 21000 numbers up to 42004 share no factor with it.
- 4
The digits of 42004 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42004 = 2^{2} \times 10501 \]42004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 73514 |
| Euler totient φ(n) | 21000 |
| Square | 1764336016 |
| Cube | 74109170016064 |
| Square root | 204.948774 (= 2√10501) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2004 × |
42004 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and four |
| Binary (base 2) | 1010010000010100 |
| Octal (base 8) | 122024 |
| Hexadecimal (base 16) | A414 |
| Base 3 | 2010121201 |
| As time | 42004 seconds = 11 h 40 min 4 s |
Is 42004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42004 ÷ 2 = 21002) | 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 (42004 ÷ 4 = 10501) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 42004 a prime number?
No. 42004 = × 10501, so it is divisible by 2.
What are the factors of 42004?
1, 2, 4, 10501, 21002, 42004.
What is 42004 in binary?
1010010000010100 (hexadecimal A414, octal 122024).
What is the square root of 42004?
About 204.9488, exactly 2√10501.
Is 42004 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 42004?
It is a composite number with 6 divisors.