2⁷ × 7 × 199

Prime Factor Structure

Factorization String 2^7 × 7 × 199

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 408,000

Proper Divisor Sum 229,696

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #178301 ← → #178307

Radix Representation

Decimal	178304
Binary	101011100010000000 (18 bits)
Octal	0o534200
Hexadecimal	0x2B880

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 64 112 128 199 224 398 448 796 896 1,393 1,592 2,786 3,184 5,572 6,368 11,144 12,736 22,288 25,472 44,576 89,152 178,304

Collatz Trajectory (41 steps to reach 1)

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

178,304 89,152 44,576 22,288 11,144 5,572 2,786 1,393 4,180 2,090 1,045 3,136 1,568 784 392 196 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 #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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