2⁵ × 5 × 7 × 13

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 42,336

Proper Divisor Sum 27,776

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #14557 ← → #14561

Radix Representation

Decimal	14560
Binary	11100011100000 (14 bits)
Octal	0o34340
Hexadecimal	0x38E0

Divisor Catalog (48)

1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1,040 1,120 1,456 1,820 2,080 2,912 3,640 7,280 14,560

Collatz Trajectory (45 steps to reach 1)

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

14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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