2³ × 3² × 7 × 13 × 61

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,354,080

Proper Divisor Sum 954,408

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #399667 ← → #399677

Radix Representation

Decimal	399672
Binary	1100001100100111000 (19 bits)
Octal	0o1414470
Hexadecimal	0x61938

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 61 63 72 78 84 91 104 117 122 126 156 168 182 183 234 244 252 273 312 364 366 427 468 488 504 546 549 728 732 793 819 854 936 1,092 1,098 1,281 1,464 1,586 1,638

Collatz Trajectory (192 steps to reach 1)

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

399,672 199,836 99,918 49,959 149,878 74,939 224,818 112,409 337,228 168,614 84,307 252,922 126,461 379,384 189,692 94,846 47,423 142,270 71,135 213,406 106,703 320,110 160,055 480,166 240,083 720,250 360,125 1,080,376 540,188 270,094 135,047 405,142 202,571 607,714 303,857 911,572 455,786 227,893 683,680 341,840 170,920 85,460 42,730 21,365 64,096 32,048 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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