10368: A Harmonic-Perfect Number
10368: A Harmonic-Perfect Number
This report proposes a new mathematical classification: the Harmonic-Perfect Number (HPN). The number 10368 is examined in detail and shown to exhibit harmonic, geometric, and arithmetic resonance properties—including triangular number status, base-12 symmetry, rich divisor structure, and musical interval correspondence. It is not a perfect number in the classical sense, but it satisfies new harmonic criteria rooted in resonance theory. This paper defines the formal basis for HPNs and identifies 10368 as the foundational example. Modeled using ChatGPT-4o Copyright © 2025 Andrew Delph, RN. All rights reserved.
Keywords: harmonic-perfect number, triangular number, divisor function, base-12 symmetry, number theory, resonance
Keywords: harmonic-perfect number, triangular number, divisor function, base-12 symmetry, number theory, resonance
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