λ
Harmonic Matrix

577,738

2 × 7 × 29 × 1423
Deficient Even Composite

577,738 has digital root 1. The neighboring primes are 577721 and 577739; its proper-divisor sum differs from the starting integer by -130,196.

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Prime Factor Structure

Factorization String 2 × 7 × 29 × 1423
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,025,280
Proper Divisor Sum 447,542
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #577721 ← → #577739

Radix Representation

Decimal 577738
Binary 10001101000011001010 (20 bits)
Octal 0o2150312
Hexadecimal 0x8D0CA

Divisor Catalog (5 of 16)

1 2 7 14 29

Collatz Trajectory (97 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.

577,738 288,869 866,608 433,304 216,652

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