Every number may be factored in prime factors.

For example, the number 18 may be factored by its prime factors ``` 2 ``` and ```3```
```
18 = 2 . 3 . 3 = 2 . 3²
```
The sum of the prime factors of 18 is  ```2 + 3 + 3 = 8```

But some numbers like 70 are divisible by the sum of its prime factors:
```
70 = 2 . 5 . 7 # sum of prime factors = 2 + 5 + 7 = 14
and 70 is a multiple of 14
```
Of course that primes would fulfill this property, but is obvious, because the prime decomposition of a number, is the number itself and every number is divisible by iself. That is why we will discard every prime number in the results

We are interested in collect the integer positive numbers (non primes) that have this property in a certain range ```[a, b]``` (inclusive).

Make the function ```mult_primefactor_sum()```, that receives the values ```a```, ```b``` as limits of the range ```[a, b]``` and ```a < b``` and outputs the sorted list of these numbers.

Let's see some cases:
```python
mult_primefactor_sum(10, 100) == [16, 27, 30, 60, 70, 72, 84] 

mult_primefactor_sum(1, 60) == [1, 4, 16, 27, 30, 60]
```

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = "''' keep track of numbers checked '''\nNUMS = [0, 0]\n\ndef mult_primefactor_sum(a, b):\n    \n    ''' only check numbers greater than before '''\n    for n in range(len(NUMS), b+1):\n        x, div, factors = n, 2, []\n        \n        ''' generate prime factors '''\n        while x > 1:\n            if x % div == 0:\n                factors.append(div)\n                x //= div\n            else:\n                div += 1 if div == 2 else 2\n        \n        ''' store number if it fulfills the conditions, otherwise put 0 '''\n        if len(factors) == 1 or n % sum(factors) != 0:\n            NUMS.append(0)\n        else:\n            NUMS.append(n)\n    \n    ''' return the results '''\n    return [ x for x in NUMS[a:b+1] if x ]"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'mult_primefactor_sum'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 7436