λ
Ratio Atlas
Atlas › Integer Profiles › Node 85,586,332
85,586,332
22 × 133 × 9739
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13^3 × 9739
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 162,268,400
Proper Divisor Sum 76,682,068
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #85586327 ← → #85586341

Radix Representation

Decimal 85586332
Binary 101000110011111000110011100 (27 bits)
Octal 0o506370634
Hexadecimal 0x519F19C

Divisor Catalog (24)

1 2 4 13 26 52 169 338 676 2,197 4,394 8,788 9,739 19,478 38,956 126,607 253,214 506,428 1,645,891 3,291,782 6,583,564 21,396,583 42,793,166 85,586,332

Collatz Trajectory (404 steps to reach 1)

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

85,586,332 42,793,166 21,396,583 64,189,750 32,094,875 96,284,626 48,142,313 144,426,940 72,213,470 36,106,735 108,320,206 54,160,103 162,480,310 81,240,155 243,720,466 121,860,233 365,580,700 182,790,350 91,395,175 274,185,526 137,092,763 411,278,290 205,639,145 616,917,436 308,458,718 154,229,359 462,688,078 231,344,039 694,032,118 347,016,059 1,041,048,178 520,524,089 1,561,572,268 780,786,134 390,393,067 1,171,179,202 585,589,601 1,756,768,804 878,384,402 439,192,201 1,317,576,604 658,788,302 329,394,151 988,182,454 494,091,227 1,482,273,682 741,136,841 2,223,410,524 1,111,705,262 555,852,631 1,667,557,894 833,778,947 2,501,336,842 1,250,668,421 3,752,005,264 1,876,002,632 938,001,316 469,000,658 234,500,329 703,500,988

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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