Shree is from the Sanskrit श्री (Śrī — prosperity, auspiciousness, beauty, wealth, Goddess Lakshmi). Shree is one of the Sanskrit feminine names — central to traditional Hindu civilizational heritage.
Shree does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Shree reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.