The number 42508
42508 is a composite number with 6 divisors. Its prime factorisation is × 10627. Divisors (6): 1, 2, 4, 10627, 21254, 42508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42508: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42508 is composite. Its prime factorisation is
- 3
The divisors add up to 74396; without 42508 itself that is 31888, so 42508 is deficient (31888 is less than 42508). Euler's totient φ(42508) = 21252 numbers up to 42508 share no factor with it.
- 4
The digits of 42508 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42508 = 2^{2} \times 10627 \]42508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 74396 |
| Euler totient φ(n) | 21252 |
| Square | 1806930064 |
| Cube | 76808983160512 |
| Square root | 206.174683 (= 2√10627) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2508 × |
42508 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and eight |
| Binary (base 2) | 1010011000001100 |
| Octal (base 8) | 123014 |
| Hexadecimal (base 16) | A60C |
| Base 3 | 2011022101 |
| As time | 42508 seconds = 11 h 48 min 28 s |
Is 42508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42508 ÷ 2 = 21254) | 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 (42508 ÷ 4 = 10627) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 8) | 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 42508 a prime number?
No. 42508 = × 10627, so it is divisible by 2.
What are the factors of 42508?
1, 2, 4, 10627, 21254, 42508.
What is 42508 in binary?
1010011000001100 (hexadecimal A60C, octal 123014).
What is the square root of 42508?
About 206.1747, exactly 2√10627.
Is 42508 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42508?
42508 is a happy number: repeatedly adding the squares of its digits reaches 1.