λ
Harmonic Matrix

207,394

2 × 112 × 857
Deficient Even Composite

207,394 has digital root 7. The neighboring primes are 207377 and 207401; its proper-divisor sum differs from the starting integer by -72,446.

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Prime Factor Structure

Factorization String 2 × 11^2 × 857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 342,342
Proper Divisor Sum 134,948
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #207377 ← → #207401

Radix Representation

Decimal 207394
Binary 110010101000100010 (18 bits)
Octal 0o625042
Hexadecimal 0x32A22

Divisor Catalog (5 of 12)

1 2 11 22 121

Collatz Trajectory (173 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.

207,394 103,697 311,092 155,546 77,773

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