Eichenberg, 61, is a real estate agent, but has been in and out of politics during his adult life.
He was elected treasurer of Bernalillo County at age 22. He served one term in the state Senate, from 2008 through last year.
Eichenberg announced he would run again, but then back out of the Senate race, citing family obligations.
Another former Bernalillo County treasurer, Pat Padilla, also is running for state treasurer.