2 × 3 × 7 × 11 × 13 × 23 × 29

Prime Factor Structure

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

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 11,612,160

Proper Divisor Sum 7,606,158

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #4006001 ← → #4006007

Radix Representation

Decimal	4006002
Binary	1111010010000001110010 (22 bits)
Octal	0o17220162
Hexadecimal	0x3D2072

Divisor Catalog (60 of 128)

1 2 3 6 7 11 13 14 21 22 23 26 29 33 39 42 46 58 66 69 77 78 87 91 138 143 154 161 174 182 203 231 253 273 286 299 319 322 377 406 429 462 483 506 546 598 609 638 667 754 759 858 897 957 966 1,001 1,131 1,218 1,334 1,518

Collatz Trajectory (154 steps to reach 1)

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

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 71 214 107 322 161 484 242 121

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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