2⁷ × 3 × 11²

Prime Factor Structure

Factorization String 2^7 × 3 × 11^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 135,660

Proper Divisor Sum 89,196

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #46457 ← → #46471

Radix Representation

Decimal	46464
Binary	1011010110000000 (16 bits)
Octal	0o132600
Hexadecimal	0xB580

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1,056 1,408 1,452 1,936 2,112 2,904 3,872 4,224 5,808 7,744 11,616 15,488 23,232 46,464

Collatz Trajectory (52 steps to reach 1)

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

46,464 23,232 11,616 5,808 2,904 1,452 726 363 1,090 545 1,636 818 409 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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