2⁵ × 3² × 5² × 31

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 812,448

Proper Divisor Sum 589,248

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #223151 ← → #223207

Radix Representation

Decimal	223200
Binary	110110011111100000 (18 bits)
Octal	0o663740
Hexadecimal	0x367E0

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 72 75 80 90 93 96 100 120 124 144 150 155 160 180 186 200 225 240 248 279 288 300 310 360 372 400 450 465 480 496 558 600 620 720

Collatz Trajectory (137 steps to reach 1)

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

223,200 111,600 55,800 27,900 13,950 6,975 20,926 10,463 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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