2⁴ × 3² × 7 × 13 × 23²

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 13 × 23^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 24,960,208

Proper Divisor Sum 18,028,192

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6931997 ← → #6932033

Radix Representation

Decimal	6932016
Binary	11010011100011000110000 (23 bits)
Octal	0o32343060
Hexadecimal	0x69C630

Divisor Catalog (60 of 180)

1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 28 36 39 42 46 48 52 56 63 69 72 78 84 91 92 104 112 117 126 138 144 156 161 168 182 184 207 208 234 252 273 276 299 312 322 336 364 368 414 468 483 504 529

Collatz Trajectory (222 steps to reach 1)

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

6,932,016 3,466,008 1,733,004 866,502 433,251 1,299,754 649,877 1,949,632 974,816 487,408 243,704 121,852 60,926 30,463 91,390 45,695 137,086 68,543 205,630 102,815 308,446 154,223 462,670 231,335 694,006 347,003 1,041,010 520,505 1,561,516 780,758 390,379 1,171,138 585,569 1,756,708 878,354 439,177 1,317,532 658,766 329,383 988,150 494,075 1,482,226 741,113 2,223,340 1,111,670 555,835 1,667,506 833,753 2,501,260 1,250,630 625,315 1,875,946 937,973 2,813,920 1,406,960 703,480 351,740 175,870 87,935 263,806

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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