2⁴ × 3² × 7 × 13 × 17

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 812,448

Proper Divisor Sum 589,680

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #222731 ← → #222773

Radix Representation

Decimal	222768
Binary	110110011000110000 (18 bits)
Octal	0o663060
Hexadecimal	0x36630

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 34 36 39 42 48 51 52 56 63 68 72 78 84 91 102 104 112 117 119 126 136 144 153 156 168 182 204 208 221 234 238 252 272 273 306 312 336 357 364 408 442 468

Collatz Trajectory (62 steps to reach 1)

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

222,768 111,384 55,692 27,846 13,923 41,770 20,885 62,656 31,328 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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