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Ratio Atlas
Atlas › Integer Profiles › Node 831,807
831,807
32 × 29 × 3187
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 29 × 3187
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,243,320
Proper Divisor Sum 411,513
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #831799 ← → #831811

Radix Representation

Decimal 831807
Binary 11001011000100111111 (20 bits)
Octal 0o3130477
Hexadecimal 0xCB13F

Divisor Catalog (12)

1 3 9 29 87 261 3,187 9,561 28,683 92,423 277,269 831,807

Collatz Trajectory (162 steps to reach 1)

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

831,807 2,495,422 1,247,711 3,743,134 1,871,567 5,614,702 2,807,351 8,422,054 4,211,027 12,633,082 6,316,541 18,949,624 9,474,812 4,737,406 2,368,703 7,106,110 3,553,055 10,659,166 5,329,583 15,988,750 7,994,375 23,983,126 11,991,563 35,974,690 17,987,345 53,962,036 26,981,018 13,490,509 40,471,528 20,235,764 10,117,882 5,058,941 15,176,824 7,588,412 3,794,206 1,897,103 5,691,310 2,845,655 8,536,966 4,268,483 12,805,450 6,402,725 19,208,176 9,604,088 4,802,044 2,401,022 1,200,511 3,601,534 1,800,767 5,402,302 2,701,151 8,103,454 4,051,727 12,155,182 6,077,591 18,232,774 9,116,387 27,349,162 13,674,581 41,023,744

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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