λ
Harmonic Matrix

189,782

2 × 31 × 3061
Deficient Even Composite

189,782 has digital root 8. The neighboring primes are 189767 and 189797; its proper-divisor sum differs from the starting integer by -85,612.

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Prime Factor Structure

Factorization String 2 × 31 × 3061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 293,952
Proper Divisor Sum 104,170
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #189767 ← → #189797

Radix Representation

Decimal 189782
Binary 101110010101010110 (18 bits)
Octal 0o562526
Hexadecimal 0x2E556

Divisor Catalog (5 of 8)

Collatz Trajectory (77 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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