λ
Harmonic Matrix

386,856

23 × 35 × 199
Abundant Even Composite

386,856 has digital root 9. The neighboring primes are 386851 and 386887; its proper-divisor sum differs from the starting integer by 318,288.

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Prime Factor Structure

Factorization String 2^3 × 3^5 × 199
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,092,000
Proper Divisor Sum 705,144
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #386851 ← → #386887

Radix Representation

Decimal 386856
Binary 1011110011100101000 (19 bits)
Octal 0o1363450
Hexadecimal 0x5E728

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (55 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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