The number 42628
42628 is a composite number with 6 divisors. Its prime factorisation is × 10657. Divisors (6): 1, 2, 4, 10657, 21314, 42628.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42628 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42628 is composite. Its prime factorisation is
- 3
The divisors add up to 74606; without 42628 itself that is 31978, so 42628 is deficient (31978 is less than 42628). Euler's totient φ(42628) = 21312 numbers up to 42628 share no factor with it.
- 4
The digits of 42628 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42628 = 2^{2} \times 10657 \]42628 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 74606 |
| Euler totient φ(n) | 21312 |
| Square | 1817146384 |
| Cube | 77461316057152 |
| Square root | 206.465493 (= 2√10657) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2628 × |
42628 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and twenty-eight |
| Binary (base 2) | 1010011010000100 |
| Octal (base 8) | 123204 |
| Hexadecimal (base 16) | A684 |
| Base 3 | 2011110211 |
| As time | 42628 seconds = 11 h 50 min 28 s |
Is 42628 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42628 ÷ 2 = 21314) | 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 (42628 ÷ 4 = 10657) | 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 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 4) | 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 3) | 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 42628 a prime number?
No. 42628 = × 10657, so it is divisible by 2.
What are the factors of 42628?
1, 2, 4, 10657, 21314, 42628.
What is 42628 in binary?
1010011010000100 (hexadecimal A684, octal 123204).
What is the square root of 42628?
About 206.4655, exactly 2√10657.
Is 42628 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42628?
It is a composite number with 6 divisors.