2⁵ × 3 × 7 × 61

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 124,992

Proper Divisor Sum 84,000

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #40973 ← → #40993

Radix Representation

Decimal	40992
Binary	1010000000100000 (16 bits)
Octal	0o120040
Hexadecimal	0xA020

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1,281 1,464 1,708 1,952 2,562 2,928 3,416 5,124 5,856 6,832 10,248 13,664 20,496 40,992

Collatz Trajectory (57 steps to reach 1)

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

40,992 20,496 10,248 5,124 2,562 1,281 3,844 1,922 961 2,884 1,442 721 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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