2³ × 3² × 7² × 13 × 149

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 13 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 23,341,500

Proper Divisor Sum 16,507,764

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6833731 ← → #6833773

Radix Representation

Decimal	6833736
Binary	11010000100011001001000 (23 bits)
Octal	0o32043110
Hexadecimal	0x684648

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 149 156 168 182 196 234 252 273 294 298 312 364 392 441 447 468 504 546 588 596 637 728 819 882 894 936 1,043 1,092

Collatz Trajectory (116 steps to reach 1)

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

6,833,736 3,416,868 1,708,434 854,217 2,562,652 1,281,326 640,663 1,921,990 960,995 2,882,986 1,441,493 4,324,480 2,162,240 1,081,120 540,560 270,280 135,140 67,570 33,785 101,356 50,678 25,339 76,018 38,009 114,028 57,014 28,507 85,522 42,761 128,284 64,142 32,071 96,214 48,107 144,322 72,161 216,484 108,242 54,121 162,364 81,182 40,591 121,774 60,887 182,662 91,331 273,994 136,997 410,992 205,496 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348

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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