2⁹ × 3 × 5 × 29

Prime Factor Structure

Factorization String 2^9 × 3 × 5 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 736,560

Proper Divisor Sum 513,840

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #222713 ← → #222731

Radix Representation

Decimal	222720
Binary	110110011000000000 (18 bits)
Octal	0o663000
Hexadecimal	0x36600

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1,160 1,280 1,392 1,536 1,740 1,856 1,920 2,320 2,560 2,784 3,480

Collatz Trajectory (36 steps to reach 1)

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

222,720 111,360 55,680 27,840 13,920 6,960 3,480 1,740 870 435 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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