λ
Harmonic Matrix

9,165,480

23 × 3 × 5 × 76379
Abundant Even Composite

9,165,480 has digital root 6. The neighboring primes are 9165469 and 9165511; its proper-divisor sum differs from the starting integer by 9,165,840.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 76379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,496,800
Proper Divisor Sum 18,331,320
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9165469 ← → #9165511

Radix Representation

Decimal 9165480
Binary 100010111101101010101000 (24 bits)
Octal 0o42755250
Hexadecimal 0x8BDAA8

Divisor Catalog (32)

Collatz Trajectory (150 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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