2² × 3³ × 5² × 17²

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5^2 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 2,664,760

Proper Divisor Sum 1,884,460

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #780287 ← → #780323

Radix Representation

Decimal	780300
Binary	10111110100000001100 (20 bits)
Octal	0o2764014
Hexadecimal	0xBE80C

Divisor Catalog (60 of 108)

1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 289 300 306 340 425 450 459 510 540 578 612 675 765 850 867 900 918 1,020 1,156 1,275 1,350

Collatz Trajectory (162 steps to reach 1)

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

780,300 390,150 195,075 585,226 292,613 877,840 438,920 219,460 109,730 54,865 164,596 82,298 41,149 123,448 61,724 30,862 15,431 46,294 23,147 69,442 34,721 104,164 52,082 26,041 78,124 39,062 19,531 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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