2² × 3³ × 7 × 19 × 43

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 19 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,971,200

Proper Divisor Sum 1,353,548

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #617651 ← → #617657

Radix Representation

Decimal	617652
Binary	10010110110010110100 (20 bits)
Octal	0o2266264
Hexadecimal	0x96CB4

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 43 54 57 63 76 84 86 108 114 126 129 133 171 172 189 228 252 258 266 301 342 378 387 399 513 516 532 602 684 756 774 798 817 903 1,026 1,161 1,197 1,204 1,548 1,596 1,634 1,806 2,052

Collatz Trajectory (172 steps to reach 1)

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

617,652 308,826 154,413 463,240 231,620 115,810 57,905 173,716 86,858 43,429 130,288 65,144 32,572 16,286 8,143 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109

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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