The number 16 in numerology is a continuation of the 15 in which the initiate faces a decision of self-control. In the case of an addiction, the 16 will appear if you have taken the decision to quit.
The 16th card of the Tarot for example, is The Tower, which means the breaking down of old forms, a new change in your life. Reversed it means that you are not ready and unwilling to change even though you should.
When 16 appears in repeatedly in your life therefore, it is a sign that you must cultivate willpower and initiate positive action and kill negative aspects of your life. Unless you can overcome vices or obstacles you will not move forward.
In gematria, 16 is 1×6 – the number of the beast or in other words base consciousness, or 1+6, the divine seven, or God Consciousness. Therefore when you see 16, you should listen to what your inner voice is telling you so that you can transform six into seven rather than remain on six. Sometimes you need to break away from old routines, habits and ideals in order to move forward in life.