2⁵ × 3² × 7 × 41 × 157

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 41 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 43,479,072

Proper Divisor Sum 30,502,080

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #12976961 ← → #12976993

Radix Representation

Decimal	12976992
Binary	110001100000001101100000 (24 bits)
Octal	0o61401540
Hexadecimal	0xC60360

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 157 164 168 224 246 252 287 288 314 328 336 369 471 492 504 574 628 656 672 738 861 942 984 1,008 1,099 1,148 1,256 1,312 1,413 1,476

Collatz Trajectory (210 steps to reach 1)

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

12,976,992 6,488,496 3,244,248 1,622,124 811,062 405,531 1,216,594 608,297 1,824,892 912,446 456,223 1,368,670 684,335 2,053,006 1,026,503 3,079,510 1,539,755 4,619,266 2,309,633 6,928,900 3,464,450 1,732,225 5,196,676 2,598,338 1,299,169 3,897,508 1,948,754 974,377 2,923,132 1,461,566 730,783 2,192,350 1,096,175 3,288,526 1,644,263 4,932,790 2,466,395 7,399,186 3,699,593 11,098,780 5,549,390 2,774,695 8,324,086 4,162,043 12,486,130 6,243,065 18,729,196 9,364,598 4,682,299 14,046,898 7,023,449 21,070,348 10,535,174 5,267,587 15,802,762 7,901,381 23,704,144 11,852,072 5,926,036 2,963,018

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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