2³ × 3² × 5 × 13 × 163

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 13 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,686,320

Proper Divisor Sum 1,923,480

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #762823 ← → #762847

Radix Representation

Decimal	762840
Binary	10111010001111011000 (20 bits)
Octal	0o2721730
Hexadecimal	0xBA3D8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 163 180 195 234 260 312 326 360 390 468 489 520 585 652 780 815 936 978 1,170 1,304 1,467 1,560 1,630 1,956 2,119 2,340 2,445 2,934

Collatz Trajectory (131 steps to reach 1)

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

762,840 381,420 190,710 95,355 286,066 143,033 429,100 214,550 107,275 321,826 160,913 482,740 241,370 120,685 362,056 181,028 90,514 45,257 135,772 67,886 33,943 101,830 50,915 152,746 76,373 229,120 114,560 57,280 28,640 14,320 7,160 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846

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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