2 × 3³ × 5² × 7² × 11

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 2,544,480

Proper Divisor Sum 1,816,830

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #727633 ← → #727667

Radix Representation

Decimal	727650
Binary	10110001101001100010 (20 bits)
Octal	0o2615142
Hexadecimal	0xB1A62

Divisor Catalog (60 of 144)

1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 27 30 33 35 42 45 49 50 54 55 63 66 70 75 77 90 98 99 105 110 126 135 147 150 154 165 175 189 198 210 225 231 245 270 275 294 297 315 330 350 378 385 441 450 462

Collatz Trajectory (211 steps to reach 1)

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

727,650 363,825 1,091,476 545,738 272,869 818,608 409,304 204,652 102,326 51,163 153,490 76,745 230,236 115,118 57,559 172,678 86,339 259,018 129,509 388,528 194,264 97,132 48,566 24,283 72,850 36,425 109,276 54,638 27,319 81,958 40,979 122,938 61,469 184,408 92,204 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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