2⁵ × 3 × 7 × 17 × 67

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 17 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,467,584

Proper Divisor Sum 1,702,176

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #765389 ← → #765409

Radix Representation

Decimal	765408
Binary	10111010110111100000 (20 bits)
Octal	0o2726740
Hexadecimal	0xBADE0

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 67 68 84 96 102 112 119 134 136 168 201 204 224 238 268 272 336 357 402 408 469 476 536 544 672 714 804 816 938 952 1,072 1,139 1,407 1,428 1,608 1,632 1,876 1,904 2,144 2,278

Collatz Trajectory (61 steps to reach 1)

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

765,408 382,704 191,352 95,676 47,838 23,919 71,758 35,879 107,638 53,819 161,458 80,729 242,188 121,094 60,547 181,642 90,821 272,464 136,232 68,116 34,058 17,029 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4

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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