λ
Harmonic Matrix

809,434

2 × 47 × 79 × 109
Deficient Even Composite

809,434 has digital root 1. The neighboring primes are 809423 and 809437; its proper-divisor sum differs from the starting integer by -351,668.

Prime Factor Structure

Factorization String 2 × 47 × 79 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,267,200
Proper Divisor Sum 457,766
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #809423 ← → #809437

Radix Representation

Decimal 809434
Binary 11000101100111011010 (20 bits)
Octal 0o3054732
Hexadecimal 0xC59DA

Divisor Catalog (16)

1 2 47 79 94 109 158 218 3,713 5,123 7,426 8,611 10,246 17,222 404,717 809,434

Collatz Trajectory (100 steps to reach 1)

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

809,434 404,717 1,214,152 607,076 303,538 151,769 455,308 227,654 113,827 341,482 170,741 512,224 256,112 128,056 64,028 32,014 16,007 48,022 24,011 72,034 36,017 108,052 54,026 27,013 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862

More profiles

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