2² × 3³ × 7 × 23 × 41

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 23 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,257,920

Proper Divisor Sum 1,545,012

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #712891 ← → #712909

Radix Representation

Decimal	712908
Binary	10101110000011001100 (20 bits)
Octal	0o2560314
Hexadecimal	0xAE0CC

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 41 42 46 54 63 69 82 84 92 108 123 126 138 161 164 189 207 246 252 276 287 322 369 378 414 483 492 574 621 644 738 756 828 861 943 966 1,107 1,148 1,242 1,449 1,476 1,722 1,886 1,932 2,214

Collatz Trajectory (149 steps to reach 1)

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

712,908 356,454 178,227 534,682 267,341 802,024 401,012 200,506 100,253 300,760 150,380 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806 289,403 868,210 434,105 1,302,316 651,158 325,579 976,738

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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