2⁶ × 3² × 7 × 11 × 829

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 11 × 829

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 131,551,680

Proper Divisor Sum 94,783,872

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36767789 ← → #36767813

Radix Representation

Decimal	36767808
Binary	10001100010000100001000000 (26 bits)
Octal	0o214204100
Hexadecimal	0x2310840

Divisor Catalog (60 of 168)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 64 66 72 77 84 88 96 99 112 126 132 144 154 168 176 192 198 224 231 252 264 288 308 336 352 396 448 462 504 528 576 616 672 693 704

Collatz Trajectory (165 steps to reach 1)

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

36,767,808 18,383,904 9,191,952 4,595,976 2,297,988 1,148,994 574,497 1,723,492 861,746 430,873 1,292,620 646,310 323,155 969,466 484,733 1,454,200 727,100 363,550 181,775 545,326 272,663 817,990 408,995 1,226,986 613,493 1,840,480 920,240 460,120 230,060 115,030 57,515 172,546 86,273 258,820 129,410 64,705 194,116 97,058 48,529 145,588 72,794 36,397 109,192 54,596 27,298 13,649 40,948 20,474 10,237 30,712 15,356 7,678 3,839 11,518 5,759 17,278 8,639 25,918 12,959 38,878

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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