2² × 3 × 5² × 11 × 97 × 101

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 11 × 97 × 101

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 104,118,336

Proper Divisor Sum 71,788,236

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #32330093 ← → #32330101

Radix Representation

Decimal	32330100
Binary	1111011010101000101110100 (25 bits)
Octal	0o173250564
Hexadecimal	0x1ED5174

Divisor Catalog (60 of 144)

1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 97 100 101 110 132 150 165 194 202 220 275 291 300 303 330 388 404 485 505 550 582 606 660 825 970 1,010 1,067 1,100 1,111 1,164 1,212 1,455 1,515 1,650 1,940 2,020 2,134 2,222 2,425

Collatz Trajectory (263 steps to reach 1)

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

32,330,100 16,165,050 8,082,525 24,247,576 12,123,788 6,061,894 3,030,947 9,092,842 4,546,421 13,639,264 6,819,632 3,409,816 1,704,908 852,454 426,227 1,278,682 639,341 1,918,024 959,012 479,506 239,753 719,260 359,630 179,815 539,446 269,723 809,170 404,585 1,213,756 606,878 303,439 910,318 455,159 1,365,478 682,739 2,048,218 1,024,109 3,072,328 1,536,164 768,082 384,041 1,152,124 576,062 288,031 864,094 432,047 1,296,142 648,071 1,944,214 972,107 2,916,322 1,458,161 4,374,484 2,187,242 1,093,621 3,280,864 1,640,432 820,216 410,108 205,054

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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