The number 42104
42104 is a composite number with 16 divisors. Its prime factorisation is × 19 × 277. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 152, 277, 554, 1108, 2216, 5263, 10526, 21052, 42104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42104 is composite. Its prime factorisation is
- 3
The divisors add up to 83400; without 42104 itself that is 41296, so 42104 is deficient (41296 is less than 42104). Euler's totient φ(42104) = 19872 numbers up to 42104 share no factor with it.
- 4
The digits of 42104 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42104 = 2^{3} \times 19 \times 277 \]42104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 83400 |
| Euler totient φ(n) | 19872 |
| Square | 1772746816 |
| Cube | 74639731940864 |
| Square root | 205.192592 (= 2√10526) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2104 × |
42104 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and four |
| Binary (base 2) | 1010010001111000 |
| Octal (base 8) | 122170 |
| Hexadecimal (base 16) | A478 |
| Base 3 | 2010202102 |
| As time | 42104 seconds = 11 h 41 min 44 s |
Is 42104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42104 ÷ 2 = 21052) | 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 (42104 ÷ 4 = 10526) | 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 6) | 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 (42104 ÷ 8 = 5263) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | 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 42104 a prime number?
No. 42104 = × 19 × 277, so it is divisible by 2.
What are the factors of 42104?
1, 2, 4, 8, 19, 38, 76, 152, 277, 554, 1108, 2216, 5263, 10526, 21052, 42104.
What is 42104 in binary?
1010010001111000 (hexadecimal A478, octal 122170).
What is the square root of 42104?
About 205.1926, exactly 2√10526.
Is 42104 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 42104?
It is a composite number with 16 divisors.