λ
Harmonic Matrix

416,439

32 × 46271
Deficient Odd Composite

416,439 has digital root 9. The neighboring primes are 416419 and 416441; its proper-divisor sum differs from the starting integer by -231,342.

Prime Factor Structure

Factorization String 3^2 × 46271
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 601,536
Proper Divisor Sum 185,097
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #416419 ← → #416441

Radix Representation

Decimal 416439
Binary 1100101101010110111 (19 bits)
Octal 0o1455267
Hexadecimal 0x65AB7

Divisor Catalog (6)

Collatz Trajectory (161 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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