3² × 5 × 7 × 11 × 13 × 17

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 11 × 13 × 17

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,886,976

Proper Divisor Sum 1,121,211

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #765763 ← → #765767

Radix Representation

Decimal	765765
Binary	10111010111101000101 (20 bits)
Octal	0o2727505
Hexadecimal	0xBAF45

Divisor Catalog (60 of 96)

1 3 5 7 9 11 13 15 17 21 33 35 39 45 51 55 63 65 77 85 91 99 105 117 119 143 153 165 187 195 221 231 255 273 315 357 385 429 455 495 561 585 595 663 693 715 765 819 935 1,001 1,071 1,105 1,155 1,287 1,309 1,365 1,547 1,683 1,785 1,989

Collatz Trajectory (162 steps to reach 1)

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

765,765 2,297,296 1,148,648 574,324 287,162 143,581 430,744 215,372 107,686 53,843 161,530 80,765 242,296 121,148 60,574 30,287 90,862 45,431 136,294 68,147 204,442 102,221 306,664 153,332 76,666 38,333 115,000 57,500 28,750 14,375 43,126 21,563 64,690 32,345 97,036 48,518 24,259 72,778 36,389 109,168 54,584 27,292 13,646 6,823 20,470 10,235 30,706 15,353 46,060 23,030 11,515 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150

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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