The number 42506
42506 is a composite number with 8 divisors. Its prime factorisation is 2 × 53 × 401. Divisors (8): 1, 2, 53, 106, 401, 802, 21253, 42506.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42506 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42506 is composite. Its prime factorisation is
- 3
The divisors add up to 65124; without 42506 itself that is 22618, so 42506 is deficient (22618 is less than 42506). Euler's totient φ(42506) = 20800 numbers up to 42506 share no factor with it.
- 4
The digits of 42506 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42506 = 2 \times 53 \times 401 \]
42506 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 65124 |
| Euler totient φ(n) | 20800 |
| Square | 1806760036 |
| Cube | 76798142090216 |
| Square root | 206.169833 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2506 × |
42506 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and six |
| Binary (base 2) | 1010011000001010 |
| Octal (base 8) | 123012 |
| Hexadecimal (base 16) | A60A |
| Base 3 | 2011022022 |
| As time | 42506 seconds = 11 h 48 min 26 s |
Is 42506 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42506 ÷ 2 = 21253) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42506 a prime number?
No. 42506 = 2 × 53 × 401, so it is divisible by 2.
What are the factors of 42506?
1, 2, 53, 106, 401, 802, 21253, 42506.
What is 42506 in binary?
1010011000001010 (hexadecimal A60A, octal 123012).
What is the square root of 42506?
About 206.1698.
Is 42506 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42506?
It is a composite number with 8 divisors.