2² × 3 × 5 × 13 × 41

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 98,784

Proper Divisor Sum 66,804

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #31973 ← → #31981

Radix Representation

Decimal	31980
Binary	111110011101100 (15 bits)
Octal	0o76354
Hexadecimal	0x7CEC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1,066 1,230 1,599 2,132 2,460 2,665 3,198 5,330 6,396 7,995 10,660 15,990 31,980

Collatz Trajectory (54 steps to reach 1)

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

31,980 15,990 7,995 23,986 11,993 35,980 17,990 8,995 26,986 13,493 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 #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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