2 × 3³ × 5 × 7 × 11²

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 11^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 766,080

Proper Divisor Sum 537,390

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #228677 ← → #228707

Radix Representation

Decimal	228690
Binary	110111110101010010 (18 bits)
Octal	0o676522
Hexadecimal	0x37D52

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 121 126 135 154 165 189 198 210 231 242 270 297 315 330 363 378 385 462 495 594 605 630 693 726 770 847 945 990 1,089 1,155

Collatz Trajectory (142 steps to reach 1)

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

228,690 114,345 343,036 171,518 85,759 257,278 128,639 385,918 192,959 578,878 289,439 868,318 434,159 1,302,478 651,239 1,953,718 976,859 2,930,578 1,465,289 4,395,868 2,197,934 1,098,967 3,296,902 1,648,451 4,945,354 2,472,677 7,418,032 3,709,016 1,854,508 927,254 463,627 1,390,882 695,441 2,086,324 1,043,162 521,581 1,564,744 782,372 391,186 195,593 586,780 293,390 146,695 440,086 220,043 660,130 330,065 990,196 495,098 247,549 742,648 371,324 185,662 92,831 278,494 139,247 417,742 208,871 626,614 313,307

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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