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Ratio Atlas
Atlas › Integer Profiles › Node 29,596,755
29,596,755
3 × 5 × 73 × 151 × 179
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 73 × 151 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 48,591,360
Proper Divisor Sum 18,994,605
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #29596753 ← → #29596769

Radix Representation

Decimal 29596755
Binary 1110000111001110001010011 (25 bits)
Octal 0o160716123
Hexadecimal 0x1C39C53

Divisor Catalog (32)

1 3 5 15 73 151 179 219 365 453 537 755 895 1,095 2,265 2,685 11,023 13,067 27,029 33,069 39,201 55,115 65,335 81,087 135,145 165,345 196,005 405,435 1,973,117 5,919,351 9,865,585 29,596,755

Collatz Trajectory (193 steps to reach 1)

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

29,596,755 88,790,266 44,395,133 133,185,400 66,592,700 33,296,350 16,648,175 49,944,526 24,972,263 74,916,790 37,458,395 112,375,186 56,187,593 168,562,780 84,281,390 42,140,695 126,422,086 63,211,043 189,633,130 94,816,565 284,449,696 142,224,848 71,112,424 35,556,212 17,778,106 8,889,053 26,667,160 13,333,580 6,666,790 3,333,395 10,000,186 5,000,093 15,000,280 7,500,140 3,750,070 1,875,035 5,625,106 2,812,553 8,437,660 4,218,830 2,109,415 6,328,246 3,164,123 9,492,370 4,746,185 14,238,556 7,119,278 3,559,639 10,678,918 5,339,459 16,018,378 8,009,189 24,027,568 12,013,784 6,006,892 3,003,446 1,501,723 4,505,170 2,252,585 6,757,756

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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