2⁵ × 3 × 11³ × 17²

Prime Factor Structure

Factorization String 2^5 × 3 × 11^3 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 113,260,896

Proper Divisor Sum 76,333,632

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #36927229 ← → #36927271

Radix Representation

Decimal	36927264
Binary	10001100110111011100100000 (26 bits)
Octal	0o214673440
Hexadecimal	0x2337720

Divisor Catalog (60 of 144)

1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 121 132 136 176 187 204 242 264 272 289 352 363 374 408 484 528 544 561 578 726 748 816 867 968 1,056 1,122 1,156 1,331 1,452 1,496 1,632 1,734 1,936 2,057 2,244 2,312 2,662

Collatz Trajectory (77 steps to reach 1)

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

36,927,264 18,463,632 9,231,816 4,615,908 2,307,954 1,153,977 3,461,932 1,730,966 865,483 2,596,450 1,298,225 3,894,676 1,947,338 973,669 2,921,008 1,460,504 730,252 365,126 182,563 547,690 273,845 821,536 410,768 205,384 102,692 51,346 25,673 77,020 38,510 19,255 57,766 28,883 86,650 43,325 129,976 64,988 32,494 16,247 48,742 24,371 73,114 36,557 109,672 54,836 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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