Colored numbers


 * black number - a number comprising of prime digits that adds up to a prime number
 * ex: 23, 25, 29, 223, 377


 * white number - a number comprising of composite digits that adds up to a composite number
 * ex: 48, 69, 94, 446, 686


 * gray number - a number comprising of prime digits that adds up to a composite number
 * ex: 27, 53, 75, 225, 332


 * brown number - a number comprising of composite digits that adds up to a prime number
 * ex: 49, 67, 89, 335, 469, 689


 * red number - a number that is neither divisible by the sum of the digits nor the product of each digit
 * ex: 13, 28, 34, 51, 65, 127, 143


 * blue number - a number that is both divisible by the sum of the digits and the product of each digit
 * ex: 12, 24, 36, 135, 144, 216, 312, 315, 448, 1296


 * green number - a number that is divisible by the product of each digit but not the sum
 * ex: 11, 15, 128, 1112, 1113, 1111117


 * yellow number - a number that is divisible by the sum of the digits but not the product
 * ex: 20, 27, 42, 84, 114, 133, 222, 324, 512, 864