2⁹ × 157

Prime Factor Structure

Factorization String 2^9 × 157

Distinct Prime Factors 2

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 161,634

Proper Divisor Sum 81,250

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #80369 ← → #80387

Radix Representation

Decimal	80384
Binary	10011101000000000 (17 bits)
Octal	0o235000
Hexadecimal	0x13A00

Divisor Catalog (20)

1 2 4 8 16 32 64 128 157 256 314 512 628 1,256 2,512 5,024 10,048 20,096 40,192 80,384

Collatz Trajectory (45 steps to reach 1)

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

80,384 40,192 20,096 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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