2⁴ × 3³ × 7² × 19

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7^2 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,413,600

Proper Divisor Sum 1,011,408

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #402139 ← → #402197

Radix Representation

Decimal	402192
Binary	1100010001100010000 (19 bits)
Octal	0o1421420
Hexadecimal	0x62310

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 49 54 56 57 63 72 76 84 98 108 112 114 126 133 144 147 152 168 171 189 196 216 228 252 266 294 304 336 342 378 392 399 432 441 456 504 513 532 588

Collatz Trajectory (161 steps to reach 1)

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

402,192 201,096 100,548 50,274 25,137 75,412 37,706 18,853 56,560 28,280 14,140 7,070 3,535 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71

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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