2² × 3 × 7 × 11 × 13 × 23 × 29

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 13 × 23 × 29

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 27,095,040

Proper Divisor Sum 19,083,036

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #8012003 ← → #8012021

Radix Representation

Decimal	8012004
Binary	11110100100000011100100 (23 bits)
Octal	0o36440344
Hexadecimal	0x7A40E4

Divisor Catalog (60 of 192)

1 2 3 4 6 7 11 12 13 14 21 22 23 26 28 29 33 39 42 44 46 52 58 66 69 77 78 84 87 91 92 116 132 138 143 154 156 161 174 182 203 231 253 273 276 286 299 308 319 322 348 364 377 406 429 462 483 506 546 572

Collatz Trajectory (155 steps to reach 1)

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

8,012,004 4,006,002 2,003,001 6,009,004 3,004,502 1,502,251 4,506,754 2,253,377 6,760,132 3,380,066 1,690,033 5,070,100 2,535,050 1,267,525 3,802,576 1,901,288 950,644 475,322 237,661 712,984 356,492 178,246 89,123 267,370 133,685 401,056 200,528 100,264 50,132 25,066 12,533 37,600 18,800 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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