2⁶ × 3 × 5 × 7 × 59

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 1,463,040

Proper Divisor Sum 1,066,560

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #396479 ← → #396509

Radix Representation

Decimal	396480
Binary	1100000110011000000 (19 bits)
Octal	0o1406300
Hexadecimal	0x60CC0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 59 60 64 70 80 84 96 105 112 118 120 140 160 168 177 192 210 224 236 240 280 295 320 336 354 413 420 448 472 480 560 590 672 708 826 840

Collatz Trajectory (192 steps to reach 1)

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

396,480 198,240 99,120 49,560 24,780 12,390 6,195 18,586 9,293 27,880 13,940 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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