2 × 3⁷ × 5² × 7

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,440,320

Proper Divisor Sum 1,674,870

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #765439 ← → #765461

Radix Representation

Decimal	765450
Binary	10111010111000001010 (20 bits)
Octal	0o2727012
Hexadecimal	0xBAE0A

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 243 270 315 350 378 405 450 486 525 567 630 675 729 810 945 1,050 1,134 1,215 1,350 1,458 1,575 1,701 1,890 2,025 2,187 2,430

Collatz Trajectory (61 steps to reach 1)

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

765,450 382,725 1,148,176 574,088 287,044 143,522 71,761 215,284 107,642 53,821 161,464 80,732 40,366 20,183 60,550 30,275 90,826 45,413 136,240 68,120 34,060 17,030 8,515 25,546 12,773 38,320 19,160 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 #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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