2⁵ × 3² × 7 × 79 × 353

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 79 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 185,552,640

Proper Divisor Sum 129,332,448

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #56220191 ← → #56220217

Radix Representation

Decimal	56220192
Binary	11010110011101101000100000 (26 bits)
Octal	0o326355040
Hexadecimal	0x359DA20

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 353 474 504 553 632 672 706 711 948 1,008 1,059 1,106 1,264 1,412 1,422 1,659 1,896 2,016 2,118 2,212 2,471 2,528 2,824 2,844

Collatz Trajectory (163 steps to reach 1)

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

56,220,192 28,110,096 14,055,048 7,027,524 3,513,762 1,756,881 5,270,644 2,635,322 1,317,661 3,952,984 1,976,492 988,246 494,123 1,482,370 741,185 2,223,556 1,111,778 555,889 1,667,668 833,834 416,917 1,250,752 625,376 312,688 156,344 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47

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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