The number 42904
42904 is a composite number with 16 divisors. Its prime factorisation is × 31 × 173. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 173, 248, 346, 692, 1384, 5363, 10726, 21452, 42904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42904 is composite. Its prime factorisation is
- 3
The divisors add up to 83520; without 42904 itself that is 40616, so 42904 is deficient (40616 is less than 42904). Euler's totient φ(42904) = 20640 numbers up to 42904 share no factor with it.
- 4
The digits of 42904 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42904 = 2^{3} \times 31 \times 173 \]42904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 83520 |
| Euler totient φ(n) | 20640 |
| Square | 1840753216 |
| Cube | 78975675979264 |
| Square root | 207.132808 (= 2√10726) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2904 × |
42904 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and four |
| Binary (base 2) | 1010011110011000 |
| Octal (base 8) | 123630 |
| Hexadecimal (base 16) | A798 |
| Base 3 | 2011212001 |
| As time | 42904 seconds = 11 h 55 min 4 s |
Is 42904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42904 ÷ 2 = 21452) | 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 (42904 ÷ 4 = 10726) | 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 1) | 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 (42904 ÷ 8 = 5363) | 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 4) | 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 42904 a prime number?
No. 42904 = × 31 × 173, so it is divisible by 2.
What are the factors of 42904?
1, 2, 4, 8, 31, 62, 124, 173, 248, 346, 692, 1384, 5363, 10726, 21452, 42904.
What is 42904 in binary?
1010011110011000 (hexadecimal A798, octal 123630).
What is the square root of 42904?
About 207.1328, exactly 2√10726.
Is 42904 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42904?
It is a composite number with 16 divisors.