2⁵ × 5 × 11 × 23

Prime Factor Structure

Factorization String 2^5 × 5 × 11 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 108,864

Proper Divisor Sum 68,384

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #40471 ← → #40483

Radix Representation

Decimal	40480
Binary	1001111000100000 (16 bits)
Octal	0o117040
Hexadecimal	0x9E20

Divisor Catalog (48)

1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1,012 1,265 1,760 1,840 2,024 2,530 3,680 4,048 5,060 8,096 10,120 20,240 40,480

Collatz Trajectory (44 steps to reach 1)

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

40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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