2⁵ × 3 × 751

Prime Factor Structure

Factorization String 2^5 × 3 × 751

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 189,504

Proper Divisor Sum 117,408

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #72091 ← → #72101

Radix Representation

Decimal	72096
Binary	10001100110100000 (17 bits)
Octal	0o214640
Hexadecimal	0x119A0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 751 1,502 2,253 3,004 4,506 6,008 9,012 12,016 18,024 24,032 36,048 72,096

Collatz Trajectory (50 steps to reach 1)

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

72,096 36,048 18,024 9,012 4,506 2,253 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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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