λ
Harmonic Matrix

182,035

5 × 72 × 743
Deficient Odd Composite

182,035 has digital root 1. The neighboring primes are 182029 and 182041; its proper-divisor sum differs from the starting integer by -109,622.

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Prime Factor Structure

Factorization String 5 × 7^2 × 743
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 254,448
Proper Divisor Sum 72,413
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #182029 ← → #182041

Radix Representation

Decimal 182035
Binary 101100011100010011 (18 bits)
Octal 0o543423
Hexadecimal 0x2C713

Divisor Catalog (5 of 12)

1 5 7 35 49

Collatz Trajectory (178 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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