The number 42908
42908 is a composite number with 12 divisors. Its prime factorisation is × 17 × 631. Divisors (12): 1, 2, 4, 17, 34, 68, 631, 1262, 2524, 10727, 21454, 42908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42908 is composite. Its prime factorisation is
- 3
The divisors add up to 79632; without 42908 itself that is 36724, so 42908 is deficient (36724 is less than 42908). Euler's totient φ(42908) = 20160 numbers up to 42908 share no factor with it.
- 4
The digits of 42908 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42908 = 2^{2} \times 17 \times 631 \]42908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 79632 |
| Euler totient φ(n) | 20160 |
| Square | 1841096464 |
| Cube | 78997767077312 |
| Square root | 207.142463 (= 2√10727) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2908 × |
42908 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and eight |
| Binary (base 2) | 1010011110011100 |
| Octal (base 8) | 123634 |
| Hexadecimal (base 16) | A79C |
| Base 3 | 2011212012 |
| As time | 42908 seconds = 11 h 55 min 8 s |
Is 42908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42908 ÷ 2 = 21454) | 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 (42908 ÷ 4 = 10727) | 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 5) | 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 5) | 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 8) | 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 42908 a prime number?
No. 42908 = × 17 × 631, so it is divisible by 2.
What are the factors of 42908?
1, 2, 4, 17, 34, 68, 631, 1262, 2524, 10727, 21454, 42908.
What is 42908 in binary?
1010011110011100 (hexadecimal A79C, octal 123634).
What is the square root of 42908?
About 207.1425, exactly 2√10727.
Is 42908 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42908?
It is a composite number with 12 divisors.