2⁷ × 3² × 29

Prime Factor Structure

Factorization String 2^7 × 3^2 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 99,450

Proper Divisor Sum 66,042

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #33403 ← → #33409

Radix Representation

Decimal	33408
Binary	1000001010000000 (16 bits)
Octal	0o101200
Hexadecimal	0x8280

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1,044 1,152 1,392 1,856 2,088 2,784 3,712 4,176 5,568 8,352 11,136 16,704 33,408

Collatz Trajectory (36 steps to reach 1)

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

33,408 16,704 8,352 4,176 2,088 1,044 522 261 784 392 196 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 #6,573,969 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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