The number 42688
42688 is a composite number with 28 divisors. Its prime factorisation is × 23 × 29. Divisors (28): 1, 2, 4, 8, 16, 23, 29, 32, 46, 58, 64, 92, 116, 184, 232, 368 … 42688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42688 is composite. Its prime factorisation is
- 3
The divisors add up to 91440; without 42688 itself that is 48752, so 42688 is abundant (48752 is more than 42688). Euler's totient φ(42688) = 19712 numbers up to 42688 share no factor with it.
- 4
The digits of 42688 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42688 = 2^{6} \times 23 \times 29 \]42688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 91440 |
| Euler totient φ(n) | 19712 |
| Square | 1822265344 |
| Cube | 77788863004672 |
| Square root | 206.610745 (= 8√667) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2688 × |
42688 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and eighty-eight |
| Binary (base 2) | 1010011011000000 |
| Octal (base 8) | 123300 |
| Hexadecimal (base 16) | A6C0 |
| Base 3 | 2011120001 |
| As time | 42688 seconds = 11 h 51 min 28 s |
Is 42688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42688 ÷ 2 = 21344) | 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 (42688 ÷ 4 = 10672) | 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 2) | 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 (42688 ÷ 8 = 5336) | 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 8) | 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 42688 a prime number?
No. 42688 = × 23 × 29, so it is divisible by 2.
What are the factors of 42688?
1, 2, 4, 8, 16, 23, 29, 32, 46, 58, 64, 92, 116, 184, 232, 368, 464, 667, 736, 928, 1334, 1472, 1856, 2668, 5336, 10672, 21344, 42688.
What is 42688 in binary?
1010011011000000 (hexadecimal A6C0, octal 123300).
What is the square root of 42688?
About 206.6107, exactly 8√667.
Is 42688 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 42688?
It is a composite number with 28 divisors.