2² × 3³ × 11 × 13 × 47

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 13 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,257,920

Proper Divisor Sum 1,532,052

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #725867 ← → #725891

Radix Representation

Decimal	725868
Binary	10110001001101101100 (20 bits)
Octal	0o2611554
Hexadecimal	0xB136C

Divisor Catalog (60 of 96)

1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 47 52 54 66 78 94 99 108 117 132 141 143 156 188 198 234 282 286 297 351 396 423 429 468 517 564 572 594 611 702 846 858 1,034 1,188 1,222 1,269 1,287 1,404 1,551 1,692 1,716 1,833 2,068

Collatz Trajectory (123 steps to reach 1)

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

725,868 362,934 181,467 544,402 272,201 816,604 408,302 204,151 612,454 306,227 918,682 459,341 1,378,024 689,012 344,506 172,253 516,760 258,380 129,190 64,595 193,786 96,893 290,680 145,340 72,670 36,335 109,006 54,503 163,510 81,755 245,266 122,633 367,900 183,950 91,975 275,926 137,963 413,890 206,945 620,836 310,418 155,209 465,628 232,814 116,407 349,222 174,611 523,834 261,917 785,752 392,876 196,438 98,219 294,658 147,329 441,988 220,994 110,497 331,492 165,746

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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