2² × 3⁴ × 13 × 17 × 113

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13 × 17 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 24,332,616

Proper Divisor Sum 16,241,364

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8091241 ← → #8091277

Radix Representation

Decimal	8091252
Binary	11110110111011001110100 (23 bits)
Octal	0o36673164
Hexadecimal	0x7B7674

Divisor Catalog (60 of 120)

1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 113 117 153 156 162 204 221 226 234 306 324 339 351 442 452 459 468 612 663 678 702 884 918 1,017 1,053 1,326 1,356 1,377 1,404 1,469 1,836 1,921 1,989 2,034 2,106 2,652 2,754

Collatz Trajectory (137 steps to reach 1)

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

8,091,252 4,045,626 2,022,813 6,068,440 3,034,220 1,517,110 758,555 2,275,666 1,137,833 3,413,500 1,706,750 853,375 2,560,126 1,280,063 3,840,190 1,920,095 5,760,286 2,880,143 8,640,430 4,320,215 12,960,646 6,480,323 19,440,970 9,720,485 29,161,456 14,580,728 7,290,364 3,645,182 1,822,591 5,467,774 2,733,887 8,201,662 4,100,831 12,302,494 6,151,247 18,453,742 9,226,871 27,680,614 13,840,307 41,520,922 20,760,461 62,281,384 31,140,692 15,570,346 7,785,173 23,355,520 11,677,760 5,838,880 2,919,440 1,459,720 729,860 364,930 182,465 547,396 273,698 136,849 410,548 205,274 102,637 307,912

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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