2¹¹ × 3 × 29

Prime Factor Structure

Factorization String 2^11 × 3 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 491,400

Proper Divisor Sum 313,224

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #178169 ← → #178183

Radix Representation

Decimal	178176
Binary	101011100000000000 (18 bits)
Octal	0o534000
Hexadecimal	0x2B800

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1,024 1,392 1,536 1,856 2,048 2,784 3,072 3,712 5,568 6,144 7,424 11,136 14,848 22,272 29,696 44,544 59,392 89,088 178,176

Collatz Trajectory (41 steps to reach 1)

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

178,176 89,088 44,544 22,272 11,136 5,568 2,784 1,392 696 348 174 87 262 131 394 197 592 296 148 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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