2² × 3³ × 11 × 17 × 41

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 17 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,540,160

Proper Divisor Sum 1,712,124

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #828029 ← → #828043

Radix Representation

Decimal	828036
Binary	11001010001010000100 (20 bits)
Octal	0o3121204
Hexadecimal	0xCA284

Divisor Catalog (60 of 96)

1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 41 44 51 54 66 68 82 99 102 108 123 132 153 164 187 198 204 246 297 306 369 374 396 451 459 492 561 594 612 697 738 748 902 918 1,107 1,122 1,188 1,353 1,394 1,476 1,683 1,804 1,836 2,091 2,214

Collatz Trajectory (144 steps to reach 1)

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

828,036 414,018 207,009 621,028 310,514 155,257 465,772 232,886 116,443 349,330 174,665 523,996 261,998 130,999 392,998 196,499 589,498 294,749 884,248 442,124 221,062 110,531 331,594 165,797 497,392 248,696 124,348 62,174 31,087 93,262 46,631 139,894 69,947 209,842 104,921 314,764 157,382 78,691 236,074 118,037 354,112 177,056 88,528 44,264 22,132 11,066 5,533 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255

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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