λ
Harmonic Matrix

8,472,026

2 × 409 × 10357
Deficient Even Composite

8,472,026 has digital root 2. The neighboring primes are 8472017 and 8472047; its proper-divisor sum differs from the starting integer by -4,203,712.

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Prime Factor Structure

Factorization String 2 × 409 × 10357
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,740,340
Proper Divisor Sum 4,268,314
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8472017 ← → #8472047

Radix Representation

Decimal 8472026
Binary 100000010100010111011010 (24 bits)
Octal 0o40242732
Hexadecimal 0x8145DA

Divisor Catalog (5 of 8)

Collatz Trajectory (199 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

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