Kata

The concept of "smooth number" is applied to all those numbers whose prime factors are lesser than or equal to 7: 60 is a smooth number (2 * 2 * 3 * 5), 111 is not (3 * 37).

More specifically, smooth numbers are classified by their highest prime factor and your are tasked with writing a isSmooth/is_smooth function that returns a string with this classification as it follows:

• 2-smooth numbers should be all defined as a "power of 2", as they are merely that;
• 3-smooth numbers are to return a result of "3-smooth";
• 5-smooth numbers will be labelled as "Hamming number"s (incidentally, you might appreciate this nice kata on them);
• 7-smooth numbers are classified as "humble number"s;
• for all the other numbers, just return non-smooth.

Examples:

isSmooth(16) === "power of 2"
isSmooth(36) === "3-smooth"
isSmooth(60) === "Hamming number"
isSmooth(98) === "humble number"
isSmooth(111) === "non-smooth"

isSmooth(16) == "power of 2"
isSmooth(36) == "3-smooth"
isSmooth(60) == "Hamming number"
isSmooth(98) == "humble number"
isSmooth(111) == "non-smooth"

is_smooth(16) == "power of 2"
is_smooth(36) == "3-smooth"
is_smooth(60) == "Hamming number"
is_smooth(98) == "humble number"
is_smooth(111) == "non-smooth"

is_smooth(16) == "power of 2"
is_smooth(36) == "3-smooth"
is_smooth(60) == "Hamming number"
is_smooth(98) == "humble number"
is_smooth(111) == "non-smooth"

is_smooth(16) == "power of 2"
is_smooth(36) == "3-smooth"
is_smooth(60) == "Hamming number"
is_smooth(98) == "humble number"
is_smooth(111) == "non-smooth"

is_smooth(16) == "power of 2"
is_smooth(36) == "3-smooth"
is_smooth(60) == "Hamming number"
is_smooth(98) == "humble number"
is_smooth(111) == "non-smooth"

isSmooth(16) == "power of 2"
isSmooth(36) == "3-smooth"
isSmooth(60) == "Hamming number"
isSmooth(98) == "humble number"
isSmooth(111) == "non-smooth"

The provided input n is always going to be a positive number > 1.