2² × 3² × 7 × 11² × 13

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 11^2 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 1,355,536

Proper Divisor Sum 959,140

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #396379 ← → #396413

Radix Representation

Decimal	396396
Binary	1100000110001101100 (19 bits)
Octal	0o1406154
Hexadecimal	0x60C6C

Divisor Catalog (60 of 108)

1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 121 126 132 143 154 156 182 198 231 234 242 252 273 286 308 363 364 396 429 462 468 484 546 572 693 726 819 847 858 924

Collatz Trajectory (143 steps to reach 1)

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

396,396 198,198 99,099 297,298 148,649 445,948 222,974 111,487 334,462 167,231 501,694 250,847 752,542 376,271 1,128,814 564,407 1,693,222 846,611 2,539,834 1,269,917 3,809,752 1,904,876 952,438 476,219 1,428,658 714,329 2,142,988 1,071,494 535,747 1,607,242 803,621 2,410,864 1,205,432 602,716 301,358 150,679 452,038 226,019 678,058 339,029 1,017,088 508,544 254,272 127,136 63,568 31,784 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518

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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