2⁵ × 3 × 641

Prime Factor Structure

Factorization String 2^5 × 3 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 161,784

Proper Divisor Sum 100,248

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #61519 ← → #61543

Radix Representation

Decimal	61536
Binary	1111000001100000 (16 bits)
Octal	0o170140
Hexadecimal	0xF060

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 641 1,282 1,923 2,564 3,846 5,128 7,692 10,256 15,384 20,512 30,768 61,536

Collatz Trajectory (55 steps to reach 1)

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

61,536 30,768 15,384 7,692 3,846 1,923 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 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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