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Ratio Atlas
Atlas › Integer Profiles › Node 3,129,243
3,129,243
3 × 13 × 19 × 41 × 103
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 19 × 41 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,892,160
Proper Divisor Sum 1,762,917
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3129223 ← → #3129253

Radix Representation

Decimal 3129243
Binary 1011111011111110011011 (22 bits)
Octal 0o13737633
Hexadecimal 0x2FBF9B

Divisor Catalog (32)

1 3 13 19 39 41 57 103 123 247 309 533 741 779 1,339 1,599 1,957 2,337 4,017 4,223 5,871 10,127 12,669 25,441 30,381 54,899 76,323 80,237 164,697 240,711 1,043,081 3,129,243

Collatz Trajectory (301 steps to reach 1)

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

3,129,243 9,387,730 4,693,865 14,081,596 7,040,798 3,520,399 10,561,198 5,280,599 15,841,798 7,920,899 23,762,698 11,881,349 35,644,048 17,822,024 8,911,012 4,455,506 2,227,753 6,683,260 3,341,630 1,670,815 5,012,446 2,506,223 7,518,670 3,759,335 11,278,006 5,639,003 16,917,010 8,458,505 25,375,516 12,687,758 6,343,879 19,031,638 9,515,819 28,547,458 14,273,729 42,821,188 21,410,594 10,705,297 32,115,892 16,057,946 8,028,973 24,086,920 12,043,460 6,021,730 3,010,865 9,032,596 4,516,298 2,258,149 6,774,448 3,387,224 1,693,612 846,806 423,403 1,270,210 635,105 1,905,316 952,658 476,329 1,428,988 714,494

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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