2⁶ × 727

Prime Factor Structure

Factorization String 2^6 × 727

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 92,456

Proper Divisor Sum 45,928

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #46523 ← → #46549

Radix Representation

Decimal	46528
Binary	1011010111000000 (16 bits)
Octal	0o132700
Hexadecimal	0xB5C0

Divisor Catalog (14)

1 2 4 8 16 32 64 727 1,454 2,908 5,816 11,632 23,264 46,528

Collatz Trajectory (52 steps to reach 1)

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

46,528 23,264 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 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 #6,573,969 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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