The number 42608
42608 is a composite number with 10 divisors. Its prime factorisation is × 2663. Divisors (10): 1, 2, 4, 8, 16, 2663, 5326, 10652, 21304, 42608.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42608 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42608 is composite. Its prime factorisation is
- 3
The divisors add up to 82584; without 42608 itself that is 39976, so 42608 is deficient (39976 is less than 42608). Euler's totient φ(42608) = 21296 numbers up to 42608 share no factor with it.
- 4
The digits of 42608 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42608 = 2^{4} \times 2663 \]42608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 82584 |
| Euler totient φ(n) | 21296 |
| Square | 1815441664 |
| Cube | 77352338419712 |
| Square root | 206.417054 (= 4√2663) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2608 × |
42608 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and eight |
| Binary (base 2) | 1010011001110000 |
| Octal (base 8) | 123160 |
| Hexadecimal (base 16) | A670 |
| Base 3 | 2011110002 |
| As time | 42608 seconds = 11 h 50 min 8 s |
Is 42608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42608 ÷ 2 = 21304) | 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 (42608 ÷ 4 = 10652) | 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 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 (42608 ÷ 8 = 5326) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 42608 a prime number?
No. 42608 = × 2663, so it is divisible by 2.
What are the factors of 42608?
1, 2, 4, 8, 16, 2663, 5326, 10652, 21304, 42608.
What is 42608 in binary?
1010011001110000 (hexadecimal A670, octal 123160).
What is the square root of 42608?
About 206.4171, exactly 4√2663.
Is 42608 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42608?
It is a composite number with 10 divisors.