2⁹ × 3 × 19

Prime Factor Structure

Factorization String 2^9 × 3 × 19

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 81,840

Proper Divisor Sum 52,656

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #29179 ← → #29191

Radix Representation

Decimal	29184
Binary	111001000000000 (15 bits)
Octal	0o71000
Hexadecimal	0x7200

Divisor Catalog (40)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1,216 1,536 1,824 2,432 3,648 4,864 7,296 9,728 14,592 29,184

Collatz Trajectory (41 steps to reach 1)

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

29,184 14,592 7,296 3,648 1,824 912 456 228 114 57 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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