2⁴ × 7 × 643

Prime Factor Structure

Factorization String 2^4 × 7 × 643

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 159,712

Proper Divisor Sum 87,696

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #71999 ← → #72019

Radix Representation

Decimal	72016
Binary	10001100101010000 (17 bits)
Octal	0o214520
Hexadecimal	0x11950

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 643 1,286 2,572 4,501 5,144 9,002 10,288 18,004 36,008 72,016

Collatz Trajectory (50 steps to reach 1)

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

72,016 36,008 18,004 9,002 4,501 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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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