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Ratio Atlas
Atlas › Integer Profiles › Node 855,351
855,351
32 × 7 × 13577
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 13577
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,412,112
Proper Divisor Sum 556,761
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #855331 ← → #855359

Radix Representation

Decimal 855351
Binary 11010000110100110111 (20 bits)
Octal 0o3206467
Hexadecimal 0xD0D37

Divisor Catalog (12)

1 3 7 9 21 63 13,577 40,731 95,039 122,193 285,117 855,351

Collatz Trajectory (237 steps to reach 1)

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

855,351 2,566,054 1,283,027 3,849,082 1,924,541 5,773,624 2,886,812 1,443,406 721,703 2,165,110 1,082,555 3,247,666 1,623,833 4,871,500 2,435,750 1,217,875 3,653,626 1,826,813 5,480,440 2,740,220 1,370,110 685,055 2,055,166 1,027,583 3,082,750 1,541,375 4,624,126 2,312,063 6,936,190 3,468,095 10,404,286 5,202,143 15,606,430 7,803,215 23,409,646 11,704,823 35,114,470 17,557,235 52,671,706 26,335,853 79,007,560 39,503,780 19,751,890 9,875,945 29,627,836 14,813,918 7,406,959 22,220,878 11,110,439 33,331,318 16,665,659 49,996,978 24,998,489 74,995,468 37,497,734 18,748,867 56,246,602 28,123,301 84,369,904 42,184,952

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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