
    Write a function that analyzes patient readmission patterns by examining pairs of patient record IDs from 1 to a specified limit, where two records are considered "readmission-linked" if the sum of all divisors of one record ID (excluding itself) equals the other record ID and vice versa. Calculate the sum of all readmission-linked record IDs found within the specified limit to identify potential patterns in hospital readmissions.
    

    
def amicable_numbers_sum(limit):
    """
    Write a function that analyzes patient readmission patterns by examining pairs of patient record IDs from 1 to a specified limit, where two records are considered "readmission-linked" if the sum of all divisors of one record ID (excluding itself) equals the other record ID and vice versa. Calculate the sum of all readmission-linked record IDs found within the specified limit to identify potential patterns in hospital readmissions.
    

    """
def amicable_numbers_sum(limit):
    """
    Write a function that analyzes patient readmission patterns by examining pairs of patient record IDs from 1 to a specified limit, where two records are considered "readmission-linked" if the sum of all divisors of one record ID (excluding itself) equals the other record ID and vice versa. Calculate the sum of all readmission-linked record IDs found within the specified limit to identify potential patterns in hospital readmissions.
    

    """
    if not isinstance(limit, int):
        return 'Input is not an integer!'
    if limit < 1:
        return 'Input must be bigger than 0!'
    amicables = set()
    for num in range(2, limit + 1):
        if num in amicables:
            continue
        sum_fact = sum([fact for fact in range(1, num) if num % fact == 0])
        sum_fact2 = sum([fact for fact in range(1, sum_fact) if sum_fact % fact == 0])
        if num == sum_fact2 and num != sum_fact:
            amicables.add(num)
            amicables.add(sum_fact2)
    return sum(amicables)