λ
Harmonic Matrix

382,724

22 × 163 × 587
Deficient Even Composite

382,724 has digital root 8. The neighboring primes are 382709 and 382727; its proper-divisor sum differs from the starting integer by -90,424.

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Prime Factor Structure

Factorization String 2^2 × 163 × 587
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 675,024
Proper Divisor Sum 292,300
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #382709 ← → #382727

Radix Representation

Decimal 382724
Binary 1011101011100000100 (19 bits)
Octal 0o1353404
Hexadecimal 0x5D704

Divisor Catalog (5 of 12)

1 2 4 163 326

Collatz Trajectory (60 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.

382,724 191,362 95,681 287,044 143,522

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