2² × 3³ × 13 × 23

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 94,080

Proper Divisor Sum 61,788

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #32261 ← → #32297

Radix Representation

Decimal	32292
Binary	111111000100100 (15 bits)
Octal	0o77044
Hexadecimal	0x7E24

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1,196 1,242 1,404 1,794 2,484 2,691 3,588 5,382 8,073 10,764 16,146 32,292

Collatz Trajectory (98 steps to reach 1)

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

32,292 16,146 8,073 24,220 12,110 6,055 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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