देवर्षिनृपशैवत्ववर्णनं नाम सप्तत्रिंशोऽध्यायः
Lord Shiva’s devotion of great sages and kings – Chapter 37
रामः ससहजो नित्यं पार्थिवं समपूजयत् |
भस्मरुद्राक्षधारी च विरजो योगमास्थितः || 38 ||
Lord Rama, along with his brothers, worshipped a clay idol (of Lord Shiva) daily, who used to apply ash (Vibhuti), wear a rudraksha seed, and was without attachments/desires, established in Yoga (means of achieving union with God).
These are typical characteristics of Shaivites.