2⁷ × 3³ × 11 × 79

Prime Factor Structure

Factorization String 2^7 × 3^3 × 11 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 9,792,000

Proper Divisor Sum 6,788,736

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3003257 ← → #3003281

Radix Representation

Decimal	3003264
Binary	1011011101001110000000 (22 bits)
Octal	0o13351600
Hexadecimal	0x2DD380

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 79 88 96 99 108 128 132 144 158 176 192 198 216 237 264 288 297 316 352 384 396 432 474 528 576 594 632 704 711 792 864 869 948 1,056 1,152 1,188 1,264

Collatz Trajectory (138 steps to reach 1)

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

3,003,264 1,501,632 750,816 375,408 187,704 93,852 46,926 23,463 70,390 35,195 105,586 52,793 158,380 79,190 39,595 118,786 59,393 178,180 89,090 44,545 133,636 66,818 33,409 100,228 50,114 25,057 75,172 37,586 18,793 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

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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