2 × 3⁵ × 5 × 11 × 31

Prime Factor Structure

Factorization String 2 × 3^5 × 5 × 11 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,515,968

Proper Divisor Sum 1,687,338

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #828601 ← → #828637

Radix Representation

Decimal	828630
Binary	11001010010011010110 (20 bits)
Octal	0o3122326
Hexadecimal	0xCA4D6

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 81 90 93 99 110 135 155 162 165 186 198 243 270 279 297 310 330 341 405 465 486 495 558 594 682 810 837 891 930 990 1,023 1,215 1,395 1,485 1,674 1,705 1,782 2,046 2,430 2,511

Collatz Trajectory (113 steps to reach 1)

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

828,630 414,315 1,242,946 621,473 1,864,420 932,210 466,105 1,398,316 699,158 349,579 1,048,738 524,369 1,573,108 786,554 393,277 1,179,832 589,916 294,958 147,479 442,438 221,219 663,658 331,829 995,488 497,744 248,872 124,436 62,218 31,109 93,328 46,664 23,332 11,666 5,833 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264

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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