3. It is known that if the sum of the digits of one number is equal to the sum of the digits of the prime factors of that number, the number is called Smith number. For example, 4937775 = 3 * 5 * 5 * 65837, while 3 + 5 +5+ 6 + 5 + 8 +3 +7 = 42, 4 + 9 + 3 +7 +7+ 5 = 42, so 4937775 is Smith number. For a given positive integer n, please find the minimum Smith number greater than n. %3D %3D

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3. It is known that if the sum of the digits of one number
is equal to the sum of the digits of the prime factors of
that number, the number is called Smith number. For
example, 4937775 = 3 *5 *5 * 65837, while 3 + 5+5+
6 + 5+ 8+3 + 7 = 42, 4 + 9 + 3 + 7+7 + 5 = 42, so
4937775 is Smith number. For a given positive integer n,
please find the minimum Smith number greater than n.
Transcribed Image Text:3. It is known that if the sum of the digits of one number is equal to the sum of the digits of the prime factors of that number, the number is called Smith number. For example, 4937775 = 3 *5 *5 * 65837, while 3 + 5+5+ 6 + 5+ 8+3 + 7 = 42, 4 + 9 + 3 + 7+7 + 5 = 42, so 4937775 is Smith number. For a given positive integer n, please find the minimum Smith number greater than n.
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