2⁶ × 1123

Prime Factor Structure

Factorization String 2^6 × 1123

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 142,748

Proper Divisor Sum 70,876

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #71867 ← → #71879

Radix Representation

Decimal	71872
Binary	10001100011000000 (17 bits)
Octal	0o214300
Hexadecimal	0x118C0

Divisor Catalog (14)

1 2 4 8 16 32 64 1,123 2,246 4,492 8,984 17,968 35,936 71,872

Collatz Trajectory (50 steps to reach 1)

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

71,872 35,936 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 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 #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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