The number 42928
42928 is a composite number with 10 divisors. Its prime factorisation is × 2683. Divisors (10): 1, 2, 4, 8, 16, 2683, 5366, 10732, 21464, 42928.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42928 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42928 is composite. Its prime factorisation is
- 3
The divisors add up to 83204; without 42928 itself that is 40276, so 42928 is deficient (40276 is less than 42928). Euler's totient φ(42928) = 21456 numbers up to 42928 share no factor with it.
- 4
The digits of 42928 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42928 = 2^{4} \times 2683 \]42928 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 83204 |
| Euler totient φ(n) | 21456 |
| Square | 1842813184 |
| Cube | 79108284362752 |
| Square root | 207.190733 (= 4√2683) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2928 × |
42928 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and twenty-eight |
| Binary (base 2) | 1010011110110000 |
| Octal (base 8) | 123660 |
| Hexadecimal (base 16) | A7B0 |
| Base 3 | 2011212221 |
| As time | 42928 seconds = 11 h 55 min 28 s |
Is 42928 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42928 ÷ 2 = 21464) | 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 (42928 ÷ 4 = 10732) | 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 | Yes (42928 ÷ 8 = 5366) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 42928 a prime number?
No. 42928 = × 2683, so it is divisible by 2.
What are the factors of 42928?
1, 2, 4, 8, 16, 2683, 5366, 10732, 21464, 42928.
What is 42928 in binary?
1010011110110000 (hexadecimal A7B0, octal 123660).
What is the square root of 42928?
About 207.1907, exactly 4√2683.
Is 42928 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42928?
It is a composite number with 10 divisors.