809,409

3 × 61 × 4423

809,409 factors as 3 × 61 × 4423. Its 8 positive divisors give a proper-divisor sum of 287,743, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3 × 61 × 4423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,097,152

Proper Divisor Sum 287,743

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #809407 ← → #809423

Radix Representation

Decimal	809409
Binary	11000101100111000001 (20 bits)
Octal	0o3054701
Hexadecimal	0xC59C1

Divisor Catalog (8)

1 3 61 183 4,423 13,269 269,803 809,409

Collatz Trajectory (193 steps to reach 1)

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

809,409 2,428,228 1,214,114 607,057 1,821,172 910,586 455,293 1,365,880 682,940 341,470 170,735 512,206 256,103 768,310 384,155 1,152,466 576,233 1,728,700 864,350 432,175 1,296,526 648,263 1,944,790 972,395 2,917,186 1,458,593 4,375,780 2,187,890 1,093,945 3,281,836 1,640,918 820,459 2,461,378 1,230,689 3,692,068 1,846,034 923,017 2,769,052 1,384,526 692,263 2,076,790 1,038,395 3,115,186 1,557,593 4,672,780 2,336,390 1,168,195 3,504,586 1,752,293 5,256,880 2,628,440 1,314,220 657,110 328,555 985,666 492,833 1,478,500 739,250 369,625 1,108,876

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