2³ × 5 × 7 × 11 × 13

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 120,960

Proper Divisor Sum 80,920

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #40039 ← → #40063

Radix Representation

Decimal	40040
Binary	1001110001101000 (16 bits)
Octal	0o116150
Hexadecimal	0x9C68

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1,001 1,144 1,430 1,540 1,820 2,002 2,860 3,080 3,640 4,004 5,005 5,720

Collatz Trajectory (31 steps to reach 1)

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

40,040 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352 176 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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