2⁶ × 7 × 131

Prime Factor Structure

Factorization String 2^6 × 7 × 131

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 134,112

Proper Divisor Sum 75,424

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #58687 ← → #58693

Radix Representation

Decimal	58688
Binary	1110010101000000 (16 bits)
Octal	0o162500
Hexadecimal	0xE540

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 131 224 262 448 524 917 1,048 1,834 2,096 3,668 4,192 7,336 8,384 14,672 29,344 58,688

Collatz Trajectory (42 steps to reach 1)

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

58,688 29,344 14,672 7,336 3,668 1,834 917 2,752 1,376 688 344 172 86 43 130 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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