2⁶ × 5 × 7 × 13

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 85,344

Proper Divisor Sum 56,224

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #29101 ← → #29123

Radix Representation

Decimal	29120
Binary	111000111000000 (15 bits)
Octal	0o70700
Hexadecimal	0x71C0

Divisor Catalog (56)

1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1,040 1,120 1,456 1,820 2,080 2,240 2,912 3,640 4,160 5,824 7,280 14,560 29,120

Collatz Trajectory (46 steps to reach 1)

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

29,120 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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