Anagram Number

Write a function that determines whether a given positive integer is an anagram number.

An anagram number is a number that can be multiplied by at least one single-digit factor other than 1 to produce a result whose digits are an anagram of the original number's digits.

Implement:

• is_anagram_number(n: int) -> bool

Rules:

• Consider only single-digit factors from 2 through 9.
• A multiplication result qualifies if it has exactly the same digits as the original number, just in a different order.
• Repeated digits count normally; leading zeros are not allowed in the comparison.
• Return True if at least one factor works, otherwise False.

Examples:

• is_anagram_number(125874) returns True because 125874 * 2 = 251748, which uses the same digits.
• is_anagram_number(123) returns False because no factor from 2 to 9 produces an anagram of 123.

Constraints:

• 1 <= n <= 10**18
• The input is guaranteed to be an integer.