2³ × 3 × 5 × 7 × 11 × 37

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 11 × 37

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 1,313,280

Proper Divisor Sum 971,400

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #341879 ← → #341911

Radix Representation

Decimal	341880
Binary	1010011011101111000 (19 bits)
Octal	0o1233570
Hexadecimal	0x53778

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 37 40 42 44 55 56 60 66 70 74 77 84 88 105 110 111 120 132 140 148 154 165 168 185 210 220 222 231 259 264 280 296 308 330 370 385 407 420 440

Collatz Trajectory (197 steps to reach 1)

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

341,880 170,940 85,470 42,735 128,206 64,103 192,310 96,155 288,466 144,233 432,700 216,350 108,175 324,526 162,263 486,790 243,395 730,186 365,093 1,095,280 547,640 273,820 136,910 68,455 205,366 102,683 308,050 154,025 462,076 231,038 115,519 346,558 173,279 519,838 259,919 779,758 389,879 1,169,638 584,819 1,754,458 877,229 2,631,688 1,315,844 657,922 328,961 986,884 493,442 246,721 740,164 370,082 185,041 555,124 277,562 138,781 416,344 208,172 104,086 52,043 156,130 78,065

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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