2² × 3³ × 5 × 13 × 109

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 13 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,587,200

Proper Divisor Sum 1,822,020

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #765169 ← → #765181

Radix Representation

Decimal	765180
Binary	10111010110011111100 (20 bits)
Octal	0o2726374
Hexadecimal	0xBACFC

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 109 117 130 135 156 180 195 218 234 260 270 327 351 390 436 468 540 545 585 654 702 780 981 1,090 1,170 1,308 1,404 1,417 1,635 1,755 1,962 2,180 2,340 2,834

Collatz Trajectory (131 steps to reach 1)

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

765,180 382,590 191,295 573,886 286,943 860,830 430,415 1,291,246 645,623 1,936,870 968,435 2,905,306 1,452,653 4,357,960 2,178,980 1,089,490 544,745 1,634,236 817,118 408,559 1,225,678 612,839 1,838,518 919,259 2,757,778 1,378,889 4,136,668 2,068,334 1,034,167 3,102,502 1,551,251 4,653,754 2,326,877 6,980,632 3,490,316 1,745,158 872,579 2,617,738 1,308,869 3,926,608 1,963,304 981,652 490,826 245,413 736,240 368,120 184,060 92,030 46,015 138,046 69,023 207,070 103,535 310,606 155,303 465,910 232,955 698,866 349,433 1,048,300

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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