2⁷ × 3 × 7 × 17

Prime Factor Structure

Factorization String 2^7 × 3 × 7 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 146,880

Proper Divisor Sum 101,184

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #45691 ← → #45697

Radix Representation

Decimal	45696
Binary	1011001010000000 (16 bits)
Octal	0o131200
Hexadecimal	0xB280

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1,088 1,344 1,428 1,632 1,904 2,176 2,688 2,856 3,264 3,808 5,712 6,528 7,616

Collatz Trajectory (39 steps to reach 1)

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

45,696 22,848 11,424 5,712 2,856 1,428 714 357 1,072 536 268 134 67 202 101 304 152 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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