Meaning: 1: By meditating on “Rama Rama Rama” (the Name of Rama), my Mind gets absorbed in the Divine Consciousness of Rama, which is Transcendental, 2: The Name of Rama is as Great as the Thousand Names of God (Vishnu Sahasranama).
The sloka is special because the Speaker is Easwara(Shiva) and the one who is spoken about is Vishnu as Rama.
Easwara means personal God.
Vishnu is One supports everything.
One interpretation of this sloka, which is popularly accepted is
‘Chanting Rama nama accounts to chanting the whole Vishnu Sahasranama (1000 names of Vishnu). :
The other explanation is that chanting Rama Nama is equivalent to chanting God’ s Name thousand Times.
Here Sahasranama is interpreted as Thousand Names, which is etymologically correct and not specific to only Vishnu Sahasranama.
The Numerical Explanation.
According to Sanskrit scriptures, there is a principle in which sounds and letters are associated with their corresponding numbers.
Ra denotes number 2 (Ya – 1, Ra – 2, La – 3, Va – 4 … )
Ma denotes number 5 (Pa – 1, Pha – 2, ba – 3, Bha – 4, Ma – 5)
So Rama – Rama – Rama becomes 2 * 5 * 2 * 5 * 2 * 5 = 1000amayana the Indian Epic is not a figment of imagination in the fertile mind of a poet.
* In the sloka each of the sounds RA and MA occurs thrice.
Hence the above calculation.
Reference and Citation.
Dasaratha said to Sumantra,
“Oh, Sumantra! being all my wives, who are here. Surrounded by all of them, I want to see the virtuous Rama.”
(‘who are here’ means available at the capital city then)
Valmiki Ramayana, Ayodhya Kanda, Chapter 34, Verse 13: