2⁷ × 5 × 7² × 13

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,220,940

Proper Divisor Sum 813,260

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #407669 ← → #407699

Radix Representation

Decimal	407680
Binary	1100011100010000000 (19 bits)
Octal	0o1434200
Hexadecimal	0x63880

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 64 65 70 80 91 98 104 112 128 130 140 160 182 196 208 224 245 260 280 320 364 392 416 448 455 490 520 560 637 640 728 784 832 896 910 980 1,040 1,120 1,274 1,456 1,568

Collatz Trajectory (37 steps to reach 1)

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

407,680 203,840 101,920 50,960 25,480 12,740 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 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 #6,449,649 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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