2⁶ × 3³ × 5 × 7 × 13

Prime Factor Structure

Factorization String 2^6 × 3^3 × 5 × 7 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 224

Divisor Sum (σ) 3,413,760

Proper Divisor Sum 2,627,520

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #786223 ← → #786241

Radix Representation

Decimal	786240
Binary	10111111111101000000 (20 bits)
Octal	0o2777500
Hexadecimal	0xBFF40

Divisor Catalog (60 of 224)

1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 108 112 117 120 126 130 135 140 144 156 160 168

Collatz Trajectory (162 steps to reach 1)

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

786,240 393,120 196,560 98,280 49,140 24,570 12,285 36,856 18,428 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700 378,350 189,175 567,526 283,763 851,290 425,645 1,276,936 638,468 319,234 159,617 478,852 239,426 119,713 359,140 179,570

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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